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Simplifying 9(v + 2) = -6v + 48 Reorder the terms: 9(2 + v) = -6v + 48 (2 * 9 + v * 9) = -6v + 48 (18 + 9v) = -6v + 48 Reorder the terms: 18 + 9v = 48 + -6v Solving 18 + 9v = 48 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 18 + 9v + 6v = 48 + -6v + 6v Combine like terms: 9v + 6v = 15v 18 + 15v = 48 + -6v + 6v Combine like terms: -6v + 6v = 0 18 + 15v = 48 + 0 18 + 15v = 48 Add '-18' to each side of the equation. 18 + -18 + 15v = 48 + -18 Combine like terms: 18 + -18 = 0 0 + 15v = 48 + -18 15v = 48 + -18 Combine like terms: 48 + -18 = 30 15v = 30 Divide each side by '15'. v = 2 Simplifying v = 2
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