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Simplifying -3 = 7(v + 6) + 8v Reorder the terms: -3 = 7(6 + v) + 8v -3 = (6 * 7 + v * 7) + 8v -3 = (42 + 7v) + 8v Combine like terms: 7v + 8v = 15v -3 = 42 + 15v Solving -3 = 42 + 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. -3 + -15v = 42 + 15v + -15v Combine like terms: 15v + -15v = 0 -3 + -15v = 42 + 0 -3 + -15v = 42 Add '3' to each side of the equation. -3 + 3 + -15v = 42 + 3 Combine like terms: -3 + 3 = 0 0 + -15v = 42 + 3 -15v = 42 + 3 Combine like terms: 42 + 3 = 45 -15v = 45 Divide each side by '-15'. v = -3 Simplifying v = -3
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