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Simplifying 8(v + -8) + 3 = -2v + 9 Reorder the terms: 8(-8 + v) + 3 = -2v + 9 (-8 * 8 + v * 8) + 3 = -2v + 9 (-64 + 8v) + 3 = -2v + 9 Reorder the terms: -64 + 3 + 8v = -2v + 9 Combine like terms: -64 + 3 = -61 -61 + 8v = -2v + 9 Reorder the terms: -61 + 8v = 9 + -2v Solving -61 + 8v = 9 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -61 + 8v + 2v = 9 + -2v + 2v Combine like terms: 8v + 2v = 10v -61 + 10v = 9 + -2v + 2v Combine like terms: -2v + 2v = 0 -61 + 10v = 9 + 0 -61 + 10v = 9 Add '61' to each side of the equation. -61 + 61 + 10v = 9 + 61 Combine like terms: -61 + 61 = 0 0 + 10v = 9 + 61 10v = 9 + 61 Combine like terms: 9 + 61 = 70 10v = 70 Divide each side by '10'. v = 7 Simplifying v = 7
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