4 ⋅ ( 3 q − 2 ) = 16 q We first multiply the expression in parentheses by 4: 4 ⋅ 3 q − 4 ⋅ 2 = 16 q 12 q − 8 = 16 q Then, we move expression with q to the left hand side and constant to the right hand side: 12 q − 16 q = 8 − 4 q = 8 We divide both sides by (-2): q = − 2
The solution to the equation 4(3q - 2) = 16q is q = -2.
We have,
To solve the equation 4(3q - 2) = 16q, we will apply the distributive property and simplify the equation step by step.
Let's solve it:
Distribute the 4 to the terms inside the parentheses:
4 * 3q - 4 * 2 = 16q
Simplifying further:
12q - 8 = 16q
Move the 16q term to the left side by subtracting 16q from both sides of the equation:
12q - 16q - 8 = 16q - 16q
Simplifying further:
-4q - 8 = 0
Add 8 to both sides of the equation to isolate the variable:
-4q - 8 + 8 = 0 + 8
Simplifying further:
-4q = 8
Divide both sides of the equation by -4 to solve for q:
(-4q) / -4 = 8 / -4
Simplifying further:
q = -2
Therefore,
The solution to the equation 4(3q - 2) = 16q is q = -2.
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The solution to the equation 4 ( 3 q − 2 ) = 16 q is q = − 2 . We reached this by distributing, moving terms, adding, and dividing. Each step systematically isolated the variable q .
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