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Simplifying 2v + 42 = -7(v + 3) Reorder the terms: 42 + 2v = -7(v + 3) Reorder the terms: 42 + 2v = -7(3 + v) 42 + 2v = (3 * -7 + v * -7) 42 + 2v = (-21 + -7v) Solving 42 + 2v = -21 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 42 + 2v + 7v = -21 + -7v + 7v Combine like terms: 2v + 7v = 9v 42 + 9v = -21 + -7v + 7v Combine like terms: -7v + 7v = 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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