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Simplifying 5(v + 2) = -3(7v + -6) + 8v Reorder the terms: 5(2 + v) = -3(7v + -6) + 8v (2 * 5 + v * 5) = -3(7v + -6) + 8v (10 + 5v) = -3(7v + -6) + 8v Reorder the terms: 10 + 5v = -3(-6 + 7v) + 8v 10 + 5v = (-6 * -3 + 7v * -3) + 8v 10 + 5v = (18 + -21v) + 8v Combine like terms: -21v + 8v = -13v 10 + 5v = 18 + -13v Solving 10 + 5v = 18 + -13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '13v' to each side of the equation. 10 + 5v + 13v = 18 + -13v + 13v Combine like terms: 5v + 13v = 18v 10 + 18v = 18 + -13v + 13v Combine like terms: -13v + 13v = 0 10 + 18v = 18 + 0 10 + 18v = 18 Add '-10' to each side of the equation. 10 + -10 + 18v = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 18v = 18 + -10 18v = 18 + -10 Combine like terms: 18 + -10 = 8 18v = 8 Divide each side by '18'. v = 0.4444444444 Simplifying v = 0.4444444444
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