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Simplifying 102 = -3(5v + 1) Reorder the terms: 102 = -3(1 + 5v) 102 = (1 * -3 + 5v * -3) 102 = (-3 + -15v) Solving 102 = -3 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. 102 + 15v = -3 + -15v + 15v Combine like terms: -15v + 15v = 0 102 + 15v = -3 + 0 102 + 15v = -3 Add '-102' to each side of the equation. 102 + -102 + 15v = -3 + -102 Combine like terms: 102 + -102 = 0 0 + 15v = -3 + -102 15v = -3 + -102 Combine like terms: -3 + -102 = -105 15v = -105 Divide each side by '15'. v = -7 Simplifying v = -7
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