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Simplifying -38 = 3(3v + -6) + -2(v + 3) Reorder the terms: -38 = 3(-6 + 3v) + -2(v + 3) -38 = (-6 * 3 + 3v * 3) + -2(v + 3) -38 = (-18 + 9v) + -2(v + 3) Reorder the terms: -38 = -18 + 9v + -2(3 + v) -38 = -18 + 9v + (3 * -2 + v * -2) -38 = -18 + 9v + (-6 + -2v) Reorder the terms: -38 = -18 + -6 + 9v + -2v Combine like terms: -18 + -6 = -24 -38 = -24 + 9v + -2v Combine like terms: 9v + -2v = 7v -38 = -24 + 7v Solving -38 = -24 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -38 + -7v = -24 + 7v + -7v Combine like terms: 7v + -7v = 0 -38 + -7v = -24 + 0 -38 + -7v = -24 Add '38' to each side of the equation. -38 + 38 + -7v = -24 + 38 Combine like terms: -38 + 38 = 0 0 + -7v = -24 + 38 -7v = -24 + 38 Combine like terms: -24 + 38 = 14 -7v = 14 Divide each side by '-7'. v = -2 Simplifying v = -2
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