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Simplifying -3(5v + 4) = 8 + 5v Reorder the terms: -3(4 + 5v) = 8 + 5v (4 * -3 + 5v * -3) = 8 + 5v (-12 + -15v) = 8 + 5v Solving -12 + -15v = 8 + 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. -12 + -15v + -5v = 8 + 5v + -5v Combine like terms: -15v + -5v = -20v -12 + -20v = 8 + 5v + -5v Combine like terms: 5v + -5v = 0 -12 + -20v = 8 + 0 -12 + -20v = 8 Add '12' to each side of the equation. -12 + 12 + -20v = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -20v = 8 + 12 -20v = 8 + 12 Combine like terms: 8 + 12 = 20 -20v = 20 Divide each side by '-20'. v = -1 Simplifying v = -1
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