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Simplifying 42 + -8v = 2(v + 6) Reorder the terms: 42 + -8v = 2(6 + v) 42 + -8v = (6 * 2 + v * 2) 42 + -8v = (12 + 2v) Solving 42 + -8v = 12 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 42 + -8v + -2v = 12 + 2v + -2v Combine like terms: -8v + -2v = -10v 42 + -10v = 12 + 2v + -2v Combine like terms: 2v + -2v = 0 42 + -10v = 12 + 0 42 + -10v = 12 Add '-42' to each side of the equation. 42 + -42 + -10v = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -10v = 12 + -42 -10v = 12 + -42 Combine like terms: 12 + -42 = -30 -10v = -30 Divide each side by '-10'. v = 3 Simplifying v = 3
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