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Simplifying -24 + 7v = 6(9v + 5) Reorder the terms: -24 + 7v = 6(5 + 9v) -24 + 7v = (5 * 6 + 9v * 6) -24 + 7v = (30 + 54v) Solving -24 + 7v = 30 + 54v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-54v' to each side of the equation. -24 + 7v + -54v = 30 + 54v + -54v Combine like terms: 7v + -54v = -47v -24 + -47v = 30 + 54v + -54v Combine like terms: 54v + -54v = 0 -24 + -47v = 30 + 0 -24 + -47v = 30 Add '24' to each side of the equation. -24 + 24 + -47v = 30 + 24 Combine like terms: -24 + 24 = 0 0 + -47v = 30 + 24 -47v = 30 + 24 Combine like terms: 30 + 24 = 54 -47v = 54 Divide each side by '-47'. v = -1.14893617 Simplifying v = -1.14893617
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