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Simplifying -29 = 3(v + -3) + 7v Reorder the terms: -29 = 3(-3 + v) + 7v -29 = (-3 * 3 + v * 3) + 7v -29 = (-9 + 3v) + 7v Combine like terms: 3v + 7v = 10v -29 = -9 + 10v Solving -29 = -9 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -29 + -10v = -9 + 10v + -10v Combine like terms: 10v + -10v = 0 -29 + -10v = -9 + 0 -29 + -10v = -9 Add '29' to each side of the equation. -29 + 29 + -10v = -9 + 29 Combine like terms: -29 + 29 = 0 0 + -10v = -9 + 29 -10v = -9 + 29 Combine like terms: -9 + 29 = 20 -10v = 20 Divide each side by '-10'. v = -2 Simplifying v = -2
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