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Simplifying 7v + 48 = 2(v + -1) Reorder the terms: 48 + 7v = 2(v + -1) Reorder the terms: 48 + 7v = 2(-1 + v) 48 + 7v = (-1 * 2 + v * 2) 48 + 7v = (-2 + 2v) Solving 48 + 7v = -2 + 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. 48 + 7v + -2v = -2 + 2v + -2v Combine like terms: 7v + -2v = 5v 48 + 5v = -2 + 2v + -2v Combine like terms: 2v + -2v = 0 48 + 5v = -2 + 0 48 + 5v = -2 Add '-48' to each side of the equation. 48 + -48 + 5v = -2 + -48 Combine like terms: 48 + -48 = 0 0 + 5v = -2 + -48 5v = -2 + -48 Combine like terms: -2 + -48 = -50 5v = -50 Divide each side by '5'. v = -10 Simplifying v = -10
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