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Simplifying -29 = 5v + 8(v + -2) Reorder the terms: -29 = 5v + 8(-2 + v) -29 = 5v + (-2 * 8 + v * 8) -29 = 5v + (-16 + 8v) Reorder the terms: -29 = -16 + 5v + 8v Combine like terms: 5v + 8v = 13v -29 = -16 + 13v Solving -29 = -16 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -29 + -13v = -16 + 13v + -13v Combine like terms: 13v + -13v = 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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