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Simplifying v + 42 = -9(v + 7) Reorder the terms: 42 + v = -9(v + 7) Reorder the terms: 42 + v = -9(7 + v) 42 + v = (7 * -9 + v * -9) 42 + v = (-63 + -9v) Solving 42 + v = -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 + v + 9v = -63 + -9v + 9v Combine like terms: v + 9v = 10v 42 + 10v = -63 + -9v + 9v Combine like terms: -9v + 9v = 0 42 + 10v = -63 + 0 42 + 10v = -63 Add '-42' to each side of the equation. 42 + -42 + 10v = -63 + -42 Combine like terms: 42 + -42 = 0 0 + 10v = -63 + -42 10v = -63 + -42 Combine like terms: -63 + -42 = -105 10v = -105 Divide each side by '10'. v = -10.5 Simplifying v = -10.5
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