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Simplifying 48 + -8v = -5(8v + 5) Reorder the terms: 48 + -8v = -5(5 + 8v) 48 + -8v = (5 * -5 + 8v * -5) 48 + -8v = (-25 + -40v) Solving 48 + -8v = -25 + -40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '40v' to each side of the equation. 48 + -8v + 40v = -25 + -40v + 40v Combine like terms: -8v + 40v = 32v 48 + 32v = -25 + -40v + 40v Combine like terms: -40v + 40v = 0 48 + 32v = -25 + 0 48 + 32v = -25 Add '-48' to each side of the equation. 48 + -48 + 32v = -25 + -48 Combine like terms: 48 + -48 = 0 0 + 32v = -25 + -48 32v = -25 + -48 Combine like terms: -25 + -48 = -73 32v = -73 Divide each side by '32'. v = -2.28125 Simplifying v = -2.28125
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