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Simplifying 5(v + 2) = -2v + 45 Reorder the terms: 5(2 + v) = -2v + 45 (2 * 5 + v * 5) = -2v + 45 (10 + 5v) = -2v + 45 Reorder the terms: 10 + 5v = 45 + -2v Solving 10 + 5v = 45 + -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. 10 + 5v + 2v = 45 + -2v + 2v Combine like terms: 5v + 2v = 7v 10 + 7v = 45 + -2v + 2v Combine like terms: -2v + 2v = 0 10 + 7v = 45 + 0 10 + 7v = 45 Add '-10' to each side of the equation. 10 + -10 + 7v = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 7v = 45 + -10 7v = 45 + -10 Combine like terms: 45 + -10 = 35 7v = 35 Divide each side by '7'. v = 5 Simplifying v = 5
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