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Simplifying -7v + 29 = -4(v + -5) Reorder the terms: 29 + -7v = -4(v + -5) Reorder the terms: 29 + -7v = -4(-5 + v) 29 + -7v = (-5 * -4 + v * -4) 29 + -7v = (20 + -4v) Solving 29 + -7v = 20 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 29 + -7v + 4v = 20 + -4v + 4v Combine like terms: -7v + 4v = -3v 29 + -3v = 20 + -4v + 4v Combine like terms: -4v + 4v = 0 29 + -3v = 20 + 0 29 + -3v = 20 Add '-29' to each side of the equation. 29 + -29 + -3v = 20 + -29 Combine like terms: 29 + -29 = 0 0 + -3v = 20 + -29 -3v = 20 + -29 Combine like terms: 20 + -29 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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