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Simplifying 6(v + 5) = 24 + 7v Reorder the terms: 6(5 + v) = 24 + 7v (5 * 6 + v * 6) = 24 + 7v (30 + 6v) = 24 + 7v Solving 30 + 6v = 24 + 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. 30 + 6v + -7v = 24 + 7v + -7v Combine like terms: 6v + -7v = -1v 30 + -1v = 24 + 7v + -7v Combine like terms: 7v + -7v = 0 30 + -1v = 24 + 0 30 + -1v = 24 Add '-30' to each side of the equation. 30 + -30 + -1v = 24 + -30 Combine like terms: 30 + -30 = 0 0 + -1v = 24 + -30 -1v = 24 + -30 Combine like terms: 24 + -30 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6
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