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Simplifying 6v + 42 = -3(v + 7) Reorder the terms: 42 + 6v = -3(v + 7) Reorder the terms: 42 + 6v = -3(7 + v) 42 + 6v = (7 * -3 + v * -3) 42 + 6v = (-21 + -3v) Solving 42 + 6v = -21 + -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 + 6v + 3v = -21 + -3v + 3v Combine like terms: 6v + 3v = 9v 42 + 9v = -21 + -3v + 3v Combine like terms: -3v + 3v = 0 42 + 9v = -21 + 0 42 + 9v = -21 Add '-42' to each side of the equation. 42 + -42 + 9v = -21 + -42 Combine like terms: 42 + -42 = 0 0 + 9v = -21 + -42 9v = -21 + -42 Combine like terms: -21 + -42 = -63 9v = -63 Divide each side by '9'. v = -7 Simplifying v = -7
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