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Simplifying -7(20v + -4) + -12v = 9(-17v + 10) Reorder the terms: -7(-4 + 20v) + -12v = 9(-17v + 10) (-4 * -7 + 20v * -7) + -12v = 9(-17v + 10) (28 + -140v) + -12v = 9(-17v + 10) Combine like terms: -140v + -12v = -152v 28 + -152v = 9(-17v + 10) Reorder the terms: 28 + -152v = 9(10 + -17v) 28 + -152v = (10 * 9 + -17v * 9) 28 + -152v = (90 + -153v) Solving 28 + -152v = 90 + -153v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '153v' to each side of the equation. 28 + -152v + 153v = 90 + -153v + 153v Combine like terms: -152v + 153v = 1v 28 + 1v = 90 + -153v + 153v Combine like terms: -153v + 153v = 0 28 + 1v = 90 + 0 28 + 1v = 90 Add '-28' to each side of the equation. 28 + -28 + 1v = 90 + -28 Combine like terms: 28 + -28 = 0 0 + 1v = 90 + -28 1v = 90 + -28 Combine like terms: 90 + -28 = 62 1v = 62 Divide each side by '1'. v = 62 Simplifying v = 62
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