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Simplifying 29 = 8(v + -2) + -3v Reorder the terms: 29 = 8(-2 + v) + -3v 29 = (-2 * 8 + v * 8) + -3v 29 = (-16 + 8v) + -3v Combine like terms: 8v + -3v = 5v 29 = -16 + 5v Solving 29 = -16 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 29 + -5v = -16 + 5v + -5v Combine like terms: 5v + -5v = 0 29 + -5v = -16 + 0 29 + -5v = -16 Add '-29' to each side of the equation. 29 + -29 + -5v = -16 + -29 Combine like terms: 29 + -29 = 0 0 + -5v = -16 + -29 -5v = -16 + -29 Combine like terms: -16 + -29 = -45 -5v = -45 Divide each side by '-5'. v = 9 Simplifying v = 9
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