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Simplifying 5v + 29 = -6(v + -3) Reorder the terms: 29 + 5v = -6(v + -3) Reorder the terms: 29 + 5v = -6(-3 + v) 29 + 5v = (-3 * -6 + v * -6) 29 + 5v = (18 + -6v) Solving 29 + 5v = 18 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 29 + 5v + 6v = 18 + -6v + 6v Combine like terms: 5v + 6v = 11v 29 + 11v = 18 + -6v + 6v Combine like terms: -6v + 6v = 0 29 + 11v = 18 + 0 29 + 11v = 18 Add '-29' to each side of the equation. 29 + -29 + 11v = 18 + -29 Combine like terms: 29 + -29 = 0 0 + 11v = 18 + -29 11v = 18 + -29 Combine like terms: 18 + -29 = -11 11v = -11 Divide each side by '11'. v = -1 Simplifying v = -1
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