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Simplifying -8(v + -3) + -7v = 3(6 + -3v) Reorder the terms: -8(-3 + v) + -7v = 3(6 + -3v) (-3 * -8 + v * -8) + -7v = 3(6 + -3v) (24 + -8v) + -7v = 3(6 + -3v) Combine like terms: -8v + -7v = -15v 24 + -15v = 3(6 + -3v) 24 + -15v = (6 * 3 + -3v * 3) 24 + -15v = (18 + -9v) Solving 24 + -15v = 18 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 24 + -15v + 9v = 18 + -9v + 9v Combine like terms: -15v + 9v = -6v 24 + -6v = 18 + -9v + 9v Combine like terms: -9v + 9v = 0 24 + -6v = 18 + 0 24 + -6v = 18 Add '-24' to each side of the equation. 24 + -24 + -6v = 18 + -24 Combine like terms: 24 + -24 = 0 0 + -6v = 18 + -24 -6v = 18 + -24 Combine like terms: 18 + -24 = -6 -6v = -6 Divide each side by '-6'. v = 1 Simplifying v = 1
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