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Simplifying -3v + 48 = -8(v + -1) Reorder the terms: 48 + -3v = -8(v + -1) Reorder the terms: 48 + -3v = -8(-1 + v) 48 + -3v = (-1 * -8 + v * -8) 48 + -3v = (8 + -8v) Solving 48 + -3v = 8 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 48 + -3v + 8v = 8 + -8v + 8v Combine like terms: -3v + 8v = 5v 48 + 5v = 8 + -8v + 8v Combine like terms: -8v + 8v = 0 48 + 5v = 8 + 0 48 + 5v = 8 Add '-48' to each side of the equation. 48 + -48 + 5v = 8 + -48 Combine like terms: 48 + -48 = 0 0 + 5v = 8 + -48 5v = 8 + -48 Combine like terms: 8 + -48 = -40 5v = -40 Divide each side by '5'. v = -8 Simplifying v = -8
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