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Simplifying 9v + 29 = -4(v + -4) Reorder the terms: 29 + 9v = -4(v + -4) Reorder the terms: 29 + 9v = -4(-4 + v) 29 + 9v = (-4 * -4 + v * -4) 29 + 9v = (16 + -4v) Solving 29 + 9v = 16 + -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 + 9v + 4v = 16 + -4v + 4v Combine like terms: 9v + 4v = 13v 29 + 13v = 16 + -4v + 4v Combine like terms: -4v + 4v = 0 29 + 13v = 16 + 0 29 + 13v = 16 Add '-29' to each side of the equation. 29 + -29 + 13v = 16 + -29 Combine like terms: 29 + -29 = 0 0 + 13v = 16 + -29 13v = 16 + -29 Combine like terms: 16 + -29 = -13 13v = -13 Divide each side by '13'. v = -1 Simplifying v = -1
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