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Simplifying 6v + -24 = -7(v + 9) Reorder the terms: -24 + 6v = -7(v + 9) Reorder the terms: -24 + 6v = -7(9 + v) -24 + 6v = (9 * -7 + v * -7) -24 + 6v = (-63 + -7v) Solving -24 + 6v = -63 + -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. -24 + 6v + 7v = -63 + -7v + 7v Combine like terms: 6v + 7v = 13v -24 + 13v = -63 + -7v + 7v Combine like terms: -7v + 7v = 0 -24 + 13v = -63 + 0 -24 + 13v = -63 Add '24' to each side of the equation. -24 + 24 + 13v = -63 + 24 Combine like terms: -24 + 24 = 0 0 + 13v = -63 + 24 13v = -63 + 24 Combine like terms: -63 + 24 = -39 13v = -39 Divide each side by '13'. v = -3 Simplifying v = -3
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