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Simplifying 7(v + -2) + -5 = -2(-8v + 2) + -3v Reorder the terms: 7(-2 + v) + -5 = -2(-8v + 2) + -3v (-2 * 7 + v * 7) + -5 = -2(-8v + 2) + -3v (-14 + 7v) + -5 = -2(-8v + 2) + -3v Reorder the terms: -14 + -5 + 7v = -2(-8v + 2) + -3v Combine like terms: -14 + -5 = -19 -19 + 7v = -2(-8v + 2) + -3v Reorder the terms: -19 + 7v = -2(2 + -8v) + -3v -19 + 7v = (2 * -2 + -8v * -2) + -3v -19 + 7v = (-4 + 16v) + -3v Combine like terms: 16v + -3v = 13v -19 + 7v = -4 + 13v Solving -19 + 7v = -4 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -19 + 7v + -13v = -4 + 13v + -13v Combine like terms: 7v + -13v = -6v -19 + -6v = -4 + 13v + -13v Combine like terms: 13v + -13v = 0 -19 + -6v = -4 + 0 -19 + -6v = -4 Add '19' to each side of the equation. -19 + 19 + -6v = -4 + 19 Combine like terms: -19 + 19 = 0 0 + -6v = -4 + 19 -6v = -4 + 19 Combine like terms: -4 + 19 = 15 -6v = 15 Divide each side by '-6'. v = -2.5 Simplifying v = -2.5
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