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Simplifying 8v + -42 = 5(v + -3) Reorder the terms: -42 + 8v = 5(v + -3) Reorder the terms: -42 + 8v = 5(-3 + v) -42 + 8v = (-3 * 5 + v * 5) -42 + 8v = (-15 + 5v) Solving -42 + 8v = -15 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -42 + 8v + -5v = -15 + 5v + -5v Combine like terms: 8v + -5v = 3v -42 + 3v = -15 + 5v + -5v Combine like terms: 5v + -5v = 0 -42 + 3v = -15 + 0 -42 + 3v = -15 Add '42' to each side of the equation. -42 + 42 + 3v = -15 + 42 Combine like terms: -42 + 42 = 0 0 + 3v = -15 + 42 3v = -15 + 42 Combine like terms: -15 + 42 = 27 3v = 27 Divide each side by '3'. v = 9 Simplifying v = 9
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