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Simplifying 8v + 9 = -7(v + 3) Reorder the terms: 9 + 8v = -7(v + 3) Reorder the terms: 9 + 8v = -7(3 + v) 9 + 8v = (3 * -7 + v * -7) 9 + 8v = (-21 + -7v) Solving 9 + 8v = -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. 9 + 8v + 7v = -21 + -7v + 7v Combine like terms: 8v + 7v = 15v 9 + 15v = -21 + -7v + 7v Combine like terms: -7v + 7v = 0 9 + 15v = -21 + 0 9 + 15v = -21 Add '-9' to each side of the equation. 9 + -9 + 15v = -21 + -9 Combine like terms: 9 + -9 = 0 0 + 15v = -21 + -9 15v = -21 + -9 Combine like terms: -21 + -9 = -30 15v = -30 Divide each side by '15'. v = -2 Simplifying v = -2
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