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Simplifying -9(v + 8) = 6v + 3 Reorder the terms: -9(8 + v) = 6v + 3 (8 * -9 + v * -9) = 6v + 3 (-72 + -9v) = 6v + 3 Reorder the terms: -72 + -9v = 3 + 6v Solving -72 + -9v = 3 + 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. -72 + -9v + -6v = 3 + 6v + -6v Combine like terms: -9v + -6v = -15v -72 + -15v = 3 + 6v + -6v Combine like terms: 6v + -6v = 0 -72 + -15v = 3 + 0 -72 + -15v = 3 Add '72' to each side of the equation. -72 + 72 + -15v = 3 + 72 Combine like terms: -72 + 72 = 0 0 + -15v = 3 + 72 -15v = 3 + 72 Combine like terms: 3 + 72 = 75 -15v = 75 Divide each side by '-15'. v = -5 Simplifying v = -5
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