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Simplifying 8(v + 7) = -7v + -19 Reorder the terms: 8(7 + v) = -7v + -19 (7 * 8 + v * 8) = -7v + -19 (56 + 8v) = -7v + -19 Reorder the terms: 56 + 8v = -19 + -7v Solving 56 + 8v = -19 + -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. 56 + 8v + 7v = -19 + -7v + 7v Combine like terms: 8v + 7v = 15v 56 + 15v = -19 + -7v + 7v Combine like terms: -7v + 7v = 0 56 + 15v = -19 + 0 56 + 15v = -19 Add '-56' to each side of the equation. 56 + -56 + 15v = -19 + -56 Combine like terms: 56 + -56 = 0 0 + 15v = -19 + -56 15v = -19 + -56 Combine like terms: -19 + -56 = -75 15v = -75 Divide each side by '15'. v = -5 Simplifying v = -5
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