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Simplifying 7v + -42 = 9(v + -4) Reorder the terms: -42 + 7v = 9(v + -4) Reorder the terms: -42 + 7v = 9(-4 + v) -42 + 7v = (-4 * 9 + v * 9) -42 + 7v = (-36 + 9v) Solving -42 + 7v = -36 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -42 + 7v + -9v = -36 + 9v + -9v Combine like terms: 7v + -9v = -2v -42 + -2v = -36 + 9v + -9v Combine like terms: 9v + -9v = 0 -42 + -2v = -36 + 0 -42 + -2v = -36 Add '42' to each side of the equation. -42 + 42 + -2v = -36 + 42 Combine like terms: -42 + 42 = 0 0 + -2v = -36 + 42 -2v = -36 + 42 Combine like terms: -36 + 42 = 6 -2v = 6 Divide each side by '-2'. v = -3 Simplifying v = -3
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