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Simplifying 3(15v + 3) = -6(3 + -9v) Reorder the terms: 3(3 + 15v) = -6(3 + -9v) (3 * 3 + 15v * 3) = -6(3 + -9v) (9 + 45v) = -6(3 + -9v) 9 + 45v = (3 * -6 + -9v * -6) 9 + 45v = (-18 + 54v) Solving 9 + 45v = -18 + 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. 9 + 45v + -54v = -18 + 54v + -54v Combine like terms: 45v + -54v = -9v 9 + -9v = -18 + 54v + -54v Combine like terms: 54v + -54v = 0 9 + -9v = -18 + 0 9 + -9v = -18 Add '-9' to each side of the equation. 9 + -9 + -9v = -18 + -9 Combine like terms: 9 + -9 = 0 0 + -9v = -18 + -9 -9v = -18 + -9 Combine like terms: -18 + -9 = -27 -9v = -27 Divide each side by '-9'. v = 3 Simplifying v = 3
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