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Simplifying -4(1 + 5v) + 3(5 + 6v) = -3 (1 * -4 + 5v * -4) + 3(5 + 6v) = -3 (-4 + -20v) + 3(5 + 6v) = -3 -4 + -20v + (5 * 3 + 6v * 3) = -3 -4 + -20v + (15 + 18v) = -3 Reorder the terms: -4 + 15 + -20v + 18v = -3 Combine like terms: -4 + 15 = 11 11 + -20v + 18v = -3 Combine like terms: -20v + 18v = -2v 11 + -2v = -3 Solving 11 + -2v = -3 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2v = -3 + -11 Combine like terms: 11 + -11 = 0 0 + -2v = -3 + -11 -2v = -3 + -11 Combine like terms: -3 + -11 = -14 -2v = -14 Divide each side by '-2'. v = 7 Simplifying v = 7
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