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Simplifying 5(v + 6) = 9v + -10 Reorder the terms: 5(6 + v) = 9v + -10 (6 * 5 + v * 5) = 9v + -10 (30 + 5v) = 9v + -10 Reorder the terms: 30 + 5v = -10 + 9v Solving 30 + 5v = -10 + 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. 30 + 5v + -9v = -10 + 9v + -9v Combine like terms: 5v + -9v = -4v 30 + -4v = -10 + 9v + -9v Combine like terms: 9v + -9v = 0 30 + -4v = -10 + 0 30 + -4v = -10 Add '-30' to each side of the equation. 30 + -30 + -4v = -10 + -30 Combine like terms: 30 + -30 = 0 0 + -4v = -10 + -30 -4v = -10 + -30 Combine like terms: -10 + -30 = -40 -4v = -40 Divide each side by '-4'. v = 10 Simplifying v = 10
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