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Simplifying 5(v + 6) = 7v + 20 Reorder the terms: 5(6 + v) = 7v + 20 (6 * 5 + v * 5) = 7v + 20 (30 + 5v) = 7v + 20 Reorder the terms: 30 + 5v = 20 + 7v Solving 30 + 5v = 20 + 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. 30 + 5v + -7v = 20 + 7v + -7v Combine like terms: 5v + -7v = -2v 30 + -2v = 20 + 7v + -7v Combine like terms: 7v + -7v = 0 30 + -2v = 20 + 0 30 + -2v = 20 Add '-30' to each side of the equation. 30 + -30 + -2v = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -2v = 20 + -30 -2v = 20 + -30 Combine like terms: 20 + -30 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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