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Simplifying 5(8 + -8v) = 4(-12 + -8v) (8 * 5 + -8v * 5) = 4(-12 + -8v) (40 + -40v) = 4(-12 + -8v) 40 + -40v = (-12 * 4 + -8v * 4) 40 + -40v = (-48 + -32v) Solving 40 + -40v = -48 + -32v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '32v' to each side of the equation. 40 + -40v + 32v = -48 + -32v + 32v Combine like terms: -40v + 32v = -8v 40 + -8v = -48 + -32v + 32v Combine like terms: -32v + 32v = 0 40 + -8v = -48 + 0 40 + -8v = -48 Add '-40' to each side of the equation. 40 + -40 + -8v = -48 + -40 Combine like terms: 40 + -40 = 0 0 + -8v = -48 + -40 -8v = -48 + -40 Combine like terms: -48 + -40 = -88 -8v = -88 Divide each side by '-8'. v = 11 Simplifying v = 11
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