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Simplifying 4(v + 3) = -9v + 38 Reorder the terms: 4(3 + v) = -9v + 38 (3 * 4 + v * 4) = -9v + 38 (12 + 4v) = -9v + 38 Reorder the terms: 12 + 4v = 38 + -9v Solving 12 + 4v = 38 + -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 = 38 + -9v + 9v Combine like terms: 4v + 9v = 13v 12 + 13v = 38 + -9v + 9v Combine like terms: -9v + 9v = 0 12 + 13v = 38 + 0 12 + 13v = 38 Add '-12' to each side of the equation. 12 + -12 + 13v = 38 + -12 Combine like terms: 12 + -12 = 0 0 + 13v = 38 + -12 13v = 38 + -12 Combine like terms: 38 + -12 = 26 13v = 26 Divide each side by '13'. v = 2 Simplifying v = 2
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