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Simplifying -2v + -2 = 8(v + -9) Reorder the terms: -2 + -2v = 8(v + -9) Reorder the terms: -2 + -2v = 8(-9 + v) -2 + -2v = (-9 * 8 + v * 8) -2 + -2v = (-72 + 8v) Solving -2 + -2v = -72 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -2 + -2v + -8v = -72 + 8v + -8v Combine like terms: -2v + -8v = -10v -2 + -10v = -72 + 8v + -8v Combine like terms: 8v + -8v = 0 -2 + -10v = -72 + 0 -2 + -10v = -72 Add '2' to each side of the equation. -2 + 2 + -10v = -72 + 2 Combine like terms: -2 + 2 = 0 0 + -10v = -72 + 2 -10v = -72 + 2 Combine like terms: -72 + 2 = -70 -10v = -70 Divide each side by '-10'. v = 7 Simplifying v = 7
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