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Simplifying 7(v + -1) + -9 = -2(-2v + 7) + -5v Reorder the terms: 7(-1 + v) + -9 = -2(-2v + 7) + -5v (-1 * 7 + v * 7) + -9 = -2(-2v + 7) + -5v (-7 + 7v) + -9 = -2(-2v + 7) + -5v Reorder the terms: -7 + -9 + 7v = -2(-2v + 7) + -5v Combine like terms: -7 + -9 = -16 -16 + 7v = -2(-2v + 7) + -5v Reorder the terms: -16 + 7v = -2(7 + -2v) + -5v -16 + 7v = (7 * -2 + -2v * -2) + -5v -16 + 7v = (-14 + 4v) + -5v Combine like terms: 4v + -5v = -1v -16 + 7v = -14 + -1v Solving -16 + 7v = -14 + -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. -16 + 7v + v = -14 + -1v + v Combine like terms: 7v + v = 8v -16 + 8v = -14 + -1v + v Combine like terms: -1v + v = 0 -16 + 8v = -14 + 0 -16 + 8v = -14 Add '16' to each side of the equation. -16 + 16 + 8v = -14 + 16 Combine like terms: -16 + 16 = 0 0 + 8v = -14 + 16 8v = -14 + 16 Combine like terms: -14 + 16 = 2 8v = 2 Divide each side by '8'. v = 0.25 Simplifying v = 0.25
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