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Simplifying 5(v + 1) + -1v = -3(v + -1) + 7 Reorder the terms: 5(1 + v) + -1v = -3(v + -1) + 7 (1 * 5 + v * 5) + -1v = -3(v + -1) + 7 (5 + 5v) + -1v = -3(v + -1) + 7 Combine like terms: 5v + -1v = 4v 5 + 4v = -3(v + -1) + 7 Reorder the terms: 5 + 4v = -3(-1 + v) + 7 5 + 4v = (-1 * -3 + v * -3) + 7 5 + 4v = (3 + -3v) + 7 Reorder the terms: 5 + 4v = 3 + 7 + -3v Combine like terms: 3 + 7 = 10 5 + 4v = 10 + -3v Solving 5 + 4v = 10 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 5 + 4v + 3v = 10 + -3v + 3v Combine like terms: 4v + 3v = 7v 5 + 7v = 10 + -3v + 3v Combine like terms: -3v + 3v = 0 5 + 7v = 10 + 0 5 + 7v = 10 Add '-5' to each side of the equation. 5 + -5 + 7v = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 7v = 10 + -5 7v = 10 + -5 Combine like terms: 10 + -5 = 5 7v = 5 Divide each side by '7'. v = 0.7142857143 Simplifying v = 0.7142857143
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