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Simplifying 7(v + 7) + 10 = 5v + -1 Reorder the terms: 7(7 + v) + 10 = 5v + -1 (7 * 7 + v * 7) + 10 = 5v + -1 (49 + 7v) + 10 = 5v + -1 Reorder the terms: 49 + 10 + 7v = 5v + -1 Combine like terms: 49 + 10 = 59 59 + 7v = 5v + -1 Reorder the terms: 59 + 7v = -1 + 5v Solving 59 + 7v = -1 + 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. 59 + 7v + -5v = -1 + 5v + -5v Combine like terms: 7v + -5v = 2v 59 + 2v = -1 + 5v + -5v Combine like terms: 5v + -5v = 0 59 + 2v = -1 + 0 59 + 2v = -1 Add '-59' to each side of the equation. 59 + -59 + 2v = -1 + -59 Combine like terms: 59 + -59 = 0 0 + 2v = -1 + -59 2v = -1 + -59 Combine like terms: -1 + -59 = -60 2v = -60 Divide each side by '2'. v = -30 Simplifying v = -30
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