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Simplifying 3(5v + 6) + 6(v + 1) = -60 Reorder the terms: 3(6 + 5v) + 6(v + 1) = -60 (6 * 3 + 5v * 3) + 6(v + 1) = -60 (18 + 15v) + 6(v + 1) = -60 Reorder the terms: 18 + 15v + 6(1 + v) = -60 18 + 15v + (1 * 6 + v * 6) = -60 18 + 15v + (6 + 6v) = -60 Reorder the terms: 18 + 6 + 15v + 6v = -60 Combine like terms: 18 + 6 = 24 24 + 15v + 6v = -60 Combine like terms: 15v + 6v = 21v 24 + 21v = -60 Solving 24 + 21v = -60 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 21v = -60 + -24 Combine like terms: 24 + -24 = 0 0 + 21v = -60 + -24 21v = -60 + -24 Combine like terms: -60 + -24 = -84 21v = -84 Divide each side by '21'. v = -4 Simplifying v = -4
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