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Simplifying -2(v + -6) = 5v + -37 Reorder the terms: -2(-6 + v) = 5v + -37 (-6 * -2 + v * -2) = 5v + -37 (12 + -2v) = 5v + -37 Reorder the terms: 12 + -2v = -37 + 5v Solving 12 + -2v = -37 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 12 + -2v + -5v = -37 + 5v + -5v Combine like terms: -2v + -5v = -7v 12 + -7v = -37 + 5v + -5v Combine like terms: 5v + -5v = 0 12 + -7v = -37 + 0 12 + -7v = -37 Add '-12' to each side of the equation. 12 + -12 + -7v = -37 + -12 Combine like terms: 12 + -12 = 0 0 + -7v = -37 + -12 -7v = -37 + -12 Combine like terms: -37 + -12 = -49 -7v = -49 Divide each side by '-7'. v = 7 Simplifying v = 7
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