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Simplifying -24 = 2 + 7(v + 5) Reorder the terms: -24 = 2 + 7(5 + v) -24 = 2 + (5 * 7 + v * 7) -24 = 2 + (35 + 7v) Combine like terms: 2 + 35 = 37 -24 = 37 + 7v Solving -24 = 37 + 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 + -7v = 37 + 7v + -7v Combine like terms: 7v + -7v = 0 -24 + -7v = 37 + 0 -24 + -7v = 37 Add '24' to each side of the equation. -24 + 24 + -7v = 37 + 24 Combine like terms: -24 + 24 = 0 0 + -7v = 37 + 24 -7v = 37 + 24 Combine like terms: 37 + 24 = 61 -7v = 61 Divide each side by '-7'. v = -8.714285714 Simplifying v = -8.714285714
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