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Simplifying 7(-5v + -8) + -4(v + 1) = 18 Reorder the terms: 7(-8 + -5v) + -4(v + 1) = 18 (-8 * 7 + -5v * 7) + -4(v + 1) = 18 (-56 + -35v) + -4(v + 1) = 18 Reorder the terms: -56 + -35v + -4(1 + v) = 18 -56 + -35v + (1 * -4 + v * -4) = 18 -56 + -35v + (-4 + -4v) = 18 Reorder the terms: -56 + -4 + -35v + -4v = 18 Combine like terms: -56 + -4 = -60 -60 + -35v + -4v = 18 Combine like terms: -35v + -4v = -39v -60 + -39v = 18 Solving -60 + -39v = 18 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -39v = 18 + 60 Combine like terms: -60 + 60 = 0 0 + -39v = 18 + 60 -39v = 18 + 60 Combine like terms: 18 + 60 = 78 -39v = 78 Divide each side by '-39'. v = -2 Simplifying v = -2
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