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Simplifying 7(v + -5) + -7 = -4(-2v + 8) + -9v Reorder the terms: 7(-5 + v) + -7 = -4(-2v + 8) + -9v (-5 * 7 + v * 7) + -7 = -4(-2v + 8) + -9v (-35 + 7v) + -7 = -4(-2v + 8) + -9v Reorder the terms: -35 + -7 + 7v = -4(-2v + 8) + -9v Combine like terms: -35 + -7 = -42 -42 + 7v = -4(-2v + 8) + -9v Reorder the terms: -42 + 7v = -4(8 + -2v) + -9v -42 + 7v = (8 * -4 + -2v * -4) + -9v -42 + 7v = (-32 + 8v) + -9v Combine like terms: 8v + -9v = -1v -42 + 7v = -32 + -1v Solving -42 + 7v = -32 + -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. -42 + 7v + v = -32 + -1v + v Combine like terms: 7v + v = 8v -42 + 8v = -32 + -1v + v Combine like terms: -1v + v = 0 -42 + 8v = -32 + 0 -42 + 8v = -32 Add '42' to each side of the equation. -42 + 42 + 8v = -32 + 42 Combine like terms: -42 + 42 = 0 0 + 8v = -32 + 42 8v = -32 + 42 Combine like terms: -32 + 42 = 10 8v = 10 Divide each side by '8'. v = 1.25 Simplifying v = 1.25
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