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Simplifying -5(v + -6) = 2v + 44 Reorder the terms: -5(-6 + v) = 2v + 44 (-6 * -5 + v * -5) = 2v + 44 (30 + -5v) = 2v + 44 Reorder the terms: 30 + -5v = 44 + 2v Solving 30 + -5v = 44 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 30 + -5v + -2v = 44 + 2v + -2v Combine like terms: -5v + -2v = -7v 30 + -7v = 44 + 2v + -2v Combine like terms: 2v + -2v = 0 30 + -7v = 44 + 0 30 + -7v = 44 Add '-30' to each side of the equation. 30 + -30 + -7v = 44 + -30 Combine like terms: 30 + -30 = 0 0 + -7v = 44 + -30 -7v = 44 + -30 Combine like terms: 44 + -30 = 14 -7v = 14 Divide each side by '-7'. v = -2 Simplifying v = -2
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