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Simplifying 4(v + -3) = 9v + 18 Reorder the terms: 4(-3 + v) = 9v + 18 (-3 * 4 + v * 4) = 9v + 18 (-12 + 4v) = 9v + 18 Reorder the terms: -12 + 4v = 18 + 9v Solving -12 + 4v = 18 + 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. -12 + 4v + -9v = 18 + 9v + -9v Combine like terms: 4v + -9v = -5v -12 + -5v = 18 + 9v + -9v Combine like terms: 9v + -9v = 0 -12 + -5v = 18 + 0 -12 + -5v = 18 Add '12' to each side of the equation. -12 + 12 + -5v = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -5v = 18 + 12 -5v = 18 + 12 Combine like terms: 18 + 12 = 30 -5v = 30 Divide each side by '-5'. v = -6 Simplifying v = -6
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