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Simplifying -4(v + -4) + -5(1 + 7v) = 11 Reorder the terms: -4(-4 + v) + -5(1 + 7v) = 11 (-4 * -4 + v * -4) + -5(1 + 7v) = 11 (16 + -4v) + -5(1 + 7v) = 11 16 + -4v + (1 * -5 + 7v * -5) = 11 16 + -4v + (-5 + -35v) = 11 Reorder the terms: 16 + -5 + -4v + -35v = 11 Combine like terms: 16 + -5 = 11 11 + -4v + -35v = 11 Combine like terms: -4v + -35v = -39v 11 + -39v = 11 Add '-11' to each side of the equation. 11 + -11 + -39v = 11 + -11 Combine like terms: 11 + -11 = 0 0 + -39v = 11 + -11 -39v = 11 + -11 Combine like terms: 11 + -11 = 0 -39v = 0 Solving -39v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by '-39'. v = 0 Simplifying v = 0
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