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Simplifying 7v + 3 = -8(v + 9) Reorder the terms: 3 + 7v = -8(v + 9) Reorder the terms: 3 + 7v = -8(9 + v) 3 + 7v = (9 * -8 + v * -8) 3 + 7v = (-72 + -8v) Solving 3 + 7v = -72 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 3 + 7v + 8v = -72 + -8v + 8v Combine like terms: 7v + 8v = 15v 3 + 15v = -72 + -8v + 8v Combine like terms: -8v + 8v = 0 3 + 15v = -72 + 0 3 + 15v = -72 Add '-3' to each side of the equation. 3 + -3 + 15v = -72 + -3 Combine like terms: 3 + -3 = 0 0 + 15v = -72 + -3 15v = -72 + -3 Combine like terms: -72 + -3 = -75 15v = -75 Divide each side by '15'. v = -5 Simplifying v = -5
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