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Simplifying 6v + 42 = 8(v + 3) Reorder the terms: 42 + 6v = 8(v + 3) Reorder the terms: 42 + 6v = 8(3 + v) 42 + 6v = (3 * 8 + v * 8) 42 + 6v = (24 + 8v) Solving 42 + 6v = 24 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 42 + 6v + -8v = 24 + 8v + -8v Combine like terms: 6v + -8v = -2v 42 + -2v = 24 + 8v + -8v Combine like terms: 8v + -8v = 0 42 + -2v = 24 + 0 42 + -2v = 24 Add '-42' to each side of the equation. 42 + -42 + -2v = 24 + -42 Combine like terms: 42 + -42 = 0 0 + -2v = 24 + -42 -2v = 24 + -42 Combine like terms: 24 + -42 = -18 -2v = -18 Divide each side by '-2'. v = 9 Simplifying v = 9
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