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Simplifying 6(v + 5) + 2(v + -2) = 10v + 4 + -5 Reorder the terms: 6(5 + v) + 2(v + -2) = 10v + 4 + -5 (5 * 6 + v * 6) + 2(v + -2) = 10v + 4 + -5 (30 + 6v) + 2(v + -2) = 10v + 4 + -5 Reorder the terms: 30 + 6v + 2(-2 + v) = 10v + 4 + -5 30 + 6v + (-2 * 2 + v * 2) = 10v + 4 + -5 30 + 6v + (-4 + 2v) = 10v + 4 + -5 Reorder the terms: 30 + -4 + 6v + 2v = 10v + 4 + -5 Combine like terms: 30 + -4 = 26 26 + 6v + 2v = 10v + 4 + -5 Combine like terms: 6v + 2v = 8v 26 + 8v = 10v + 4 + -5 Reorder the terms: 26 + 8v = 4 + -5 + 10v Combine like terms: 4 + -5 = -1 26 + 8v = -1 + 10v Solving 26 + 8v = -1 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 26 + 8v + -10v = -1 + 10v + -10v Combine like terms: 8v + -10v = -2v 26 + -2v = -1 + 10v + -10v Combine like terms: 10v + -10v = 0 26 + -2v = -1 + 0 26 + -2v = -1 Add '-26' to each side of the equation. 26 + -26 + -2v = -1 + -26 Combine like terms: 26 + -26 = 0 0 + -2v = -1 + -26 -2v = -1 + -26 Combine like terms: -1 + -26 = -27 -2v = -27 Divide each side by '-2'. v = 13.5 Simplifying v = 13.5
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