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