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Simplifying -5v + 45 = 2(v + -2) Reorder the terms: 45 + -5v = 2(v + -2) Reorder the terms: 45 + -5v = 2(-2 + v) 45 + -5v = (-2 * 2 + v * 2) 45 + -5v = (-4 + 2v) Solving 45 + -5v = -4 + 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. 45 + -5v + -2v = -4 + 2v + -2v Combine like terms: -5v + -2v = -7v 45 + -7v = -4 + 2v + -2v Combine like terms: 2v + -2v = 0 45 + -7v = -4 + 0 45 + -7v = -4 Add '-45' to each side of the equation. 45 + -45 + -7v = -4 + -45 Combine like terms: 45 + -45 = 0 0 + -7v = -4 + -45 -7v = -4 + -45 Combine like terms: -4 + -45 = -49 -7v = -49 Divide each side by '-7'. v = 7 Simplifying v = 7
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