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Simplifying 6(v + 1) = -3v + 15 Reorder the terms: 6(1 + v) = -3v + 15 (1 * 6 + v * 6) = -3v + 15 (6 + 6v) = -3v + 15 Reorder the terms: 6 + 6v = 15 + -3v Solving 6 + 6v = 15 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 6 + 6v + 3v = 15 + -3v + 3v Combine like terms: 6v + 3v = 9v 6 + 9v = 15 + -3v + 3v Combine like terms: -3v + 3v = 0 6 + 9v = 15 + 0 6 + 9v = 15 Add '-6' to each side of the equation. 6 + -6 + 9v = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 9v = 15 + -6 9v = 15 + -6 Combine like terms: 15 + -6 = 9 9v = 9 Divide each side by '9'. v = 1 Simplifying v = 1
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