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Simplifying 71 = -8(v + -3) + -1 Reorder the terms: 71 = -8(-3 + v) + -1 71 = (-3 * -8 + v * -8) + -1 71 = (24 + -8v) + -1 Reorder the terms: 71 = 24 + -1 + -8v Combine like terms: 24 + -1 = 23 71 = 23 + -8v Solving 71 = 23 + -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. 71 + 8v = 23 + -8v + 8v Combine like terms: -8v + 8v = 0 71 + 8v = 23 + 0 71 + 8v = 23 Add '-71' to each side of the equation. 71 + -71 + 8v = 23 + -71 Combine like terms: 71 + -71 = 0 0 + 8v = 23 + -71 8v = 23 + -71 Combine like terms: 23 + -71 = -48 8v = -48 Divide each side by '8'. v = -6 Simplifying v = -6
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