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Simplifying -36 + -2v = 7(v + -5) + -8v Reorder the terms: -36 + -2v = 7(-5 + v) + -8v -36 + -2v = (-5 * 7 + v * 7) + -8v -36 + -2v = (-35 + 7v) + -8v Combine like terms: 7v + -8v = -1v -36 + -2v = -35 + -1v Solving -36 + -2v = -35 + -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. -36 + -2v + v = -35 + -1v + v Combine like terms: -2v + v = -1v -36 + -1v = -35 + -1v + v Combine like terms: -1v + v = 0 -36 + -1v = -35 + 0 -36 + -1v = -35 Add '36' to each side of the equation. -36 + 36 + -1v = -35 + 36 Combine like terms: -36 + 36 = 0 0 + -1v = -35 + 36 -1v = -35 + 36 Combine like terms: -35 + 36 = 1 -1v = 1 Divide each side by '-1'. v = -1 Simplifying v = -1
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