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Simplifying -6v + -42 = 9(v + 7) Reorder the terms: -42 + -6v = 9(v + 7) Reorder the terms: -42 + -6v = 9(7 + v) -42 + -6v = (7 * 9 + v * 9) -42 + -6v = (63 + 9v) Solving -42 + -6v = 63 + 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 + -6v + -9v = 63 + 9v + -9v Combine like terms: -6v + -9v = -15v -42 + -15v = 63 + 9v + -9v Combine like terms: 9v + -9v = 0 -42 + -15v = 63 + 0 -42 + -15v = 63 Add '42' to each side of the equation. -42 + 42 + -15v = 63 + 42 Combine like terms: -42 + 42 = 0 0 + -15v = 63 + 42 -15v = 63 + 42 Combine like terms: 63 + 42 = 105 -15v = 105 Divide each side by '-15'. v = -7 Simplifying v = -7
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