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Simplifying 4(v + -2) = 9v + -18 Reorder the terms: 4(-2 + v) = 9v + -18 (-2 * 4 + v * 4) = 9v + -18 (-8 + 4v) = 9v + -18 Reorder the terms: -8 + 4v = -18 + 9v Solving -8 + 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. -8 + 4v + -9v = -18 + 9v + -9v Combine like terms: 4v + -9v = -5v -8 + -5v = -18 + 9v + -9v Combine like terms: 9v + -9v = 0 -8 + -5v = -18 + 0 -8 + -5v = -18 Add '8' to each side of the equation. -8 + 8 + -5v = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -5v = -18 + 8 -5v = -18 + 8 Combine like terms: -18 + 8 = -10 -5v = -10 Divide each side by '-5'. v = 2 Simplifying v = 2
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