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Simplifying 7v + 3(6v + 8) = 7v + -30 Reorder the terms: 7v + 3(8 + 6v) = 7v + -30 7v + (8 * 3 + 6v * 3) = 7v + -30 7v + (24 + 18v) = 7v + -30 Reorder the terms: 24 + 7v + 18v = 7v + -30 Combine like terms: 7v + 18v = 25v 24 + 25v = 7v + -30 Reorder the terms: 24 + 25v = -30 + 7v Solving 24 + 25v = -30 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 24 + 25v + -7v = -30 + 7v + -7v Combine like terms: 25v + -7v = 18v 24 + 18v = -30 + 7v + -7v Combine like terms: 7v + -7v = 0 24 + 18v = -30 + 0 24 + 18v = -30 Add '-24' to each side of the equation. 24 + -24 + 18v = -30 + -24 Combine like terms: 24 + -24 = 0 0 + 18v = -30 + -24 18v = -30 + -24 Combine like terms: -30 + -24 = -54 18v = -54 Divide each side by '18'. v = -3 Simplifying v = -3
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