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Simplifying 5v + -3(6v + -5) = (-76) Reorder the terms: 5v + -3(-5 + 6v) = (-76) 5v + (-5 * -3 + 6v * -3) = (-76) 5v + (15 + -18v) = (-76) Reorder the terms: 15 + 5v + -18v = (-76) Combine like terms: 5v + -18v = -13v 15 + -13v = (-76) 15 + -13v = -76 Solving 15 + -13v = -76 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -13v = -76 + -15 Combine like terms: 15 + -15 = 0 0 + -13v = -76 + -15 -13v = -76 + -15 Combine like terms: -76 + -15 = -91 -13v = -91 Divide each side by '-13'. v = 7 Simplifying v = 7
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