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Simplifying 29 + 8v = -8(v + -7) + 7v Reorder the terms: 29 + 8v = -8(-7 + v) + 7v 29 + 8v = (-7 * -8 + v * -8) + 7v 29 + 8v = (56 + -8v) + 7v Combine like terms: -8v + 7v = -1v 29 + 8v = 56 + -1v Solving 29 + 8v = 56 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 29 + 8v + v = 56 + -1v + v Combine like terms: 8v + v = 9v 29 + 9v = 56 + -1v + v Combine like terms: -1v + v = 0 29 + 9v = 56 + 0 29 + 9v = 56 Add '-29' to each side of the equation. 29 + -29 + 9v = 56 + -29 Combine like terms: 29 + -29 = 0 0 + 9v = 56 + -29 9v = 56 + -29 Combine like terms: 56 + -29 = 27 9v = 27 Divide each side by '9'. v = 3 Simplifying v = 3
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