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Simplifying 7v + 10 = -2(v + 4) Reorder the terms: 10 + 7v = -2(v + 4) Reorder the terms: 10 + 7v = -2(4 + v) 10 + 7v = (4 * -2 + v * -2) 10 + 7v = (-8 + -2v) Solving 10 + 7v = -8 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 10 + 7v + 2v = -8 + -2v + 2v Combine like terms: 7v + 2v = 9v 10 + 9v = -8 + -2v + 2v Combine like terms: -2v + 2v = 0 10 + 9v = -8 + 0 10 + 9v = -8 Add '-10' to each side of the equation. 10 + -10 + 9v = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 9v = -8 + -10 9v = -8 + -10 Combine like terms: -8 + -10 = -18 9v = -18 Divide each side by '9'. v = -2 Simplifying v = -2
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