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Simplifying 8(-6 + -5v) = 5v + 3 (-6 * 8 + -5v * 8) = 5v + 3 (-48 + -40v) = 5v + 3 Reorder the terms: -48 + -40v = 3 + 5v Solving -48 + -40v = 3 + 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. -48 + -40v + -5v = 3 + 5v + -5v Combine like terms: -40v + -5v = -45v -48 + -45v = 3 + 5v + -5v Combine like terms: 5v + -5v = 0 -48 + -45v = 3 + 0 -48 + -45v = 3 Add '48' to each side of the equation. -48 + 48 + -45v = 3 + 48 Combine like terms: -48 + 48 = 0 0 + -45v = 3 + 48 -45v = 3 + 48 Combine like terms: 3 + 48 = 51 -45v = 51 Divide each side by '-45'. v = -1.133333333 Simplifying v = -1.133333333
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