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Simplifying 6(v + 5) = -3v + 21 Reorder the terms: 6(5 + v) = -3v + 21 (5 * 6 + v * 6) = -3v + 21 (30 + 6v) = -3v + 21 Reorder the terms: 30 + 6v = 21 + -3v Solving 30 + 6v = 21 + -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. 30 + 6v + 3v = 21 + -3v + 3v Combine like terms: 6v + 3v = 9v 30 + 9v = 21 + -3v + 3v Combine like terms: -3v + 3v = 0 30 + 9v = 21 + 0 30 + 9v = 21 Add '-30' to each side of the equation. 30 + -30 + 9v = 21 + -30 Combine like terms: 30 + -30 = 0 0 + 9v = 21 + -30 9v = 21 + -30 Combine like terms: 21 + -30 = -9 9v = -9 Divide each side by '9'. v = -1 Simplifying v = -1
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