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Simplifying -10(-1v + 3) + 6(v + -11) = v + 3 + 6 Reorder the terms: -10(3 + -1v) + 6(v + -11) = v + 3 + 6 (3 * -10 + -1v * -10) + 6(v + -11) = v + 3 + 6 (-30 + 10v) + 6(v + -11) = v + 3 + 6 Reorder the terms: -30 + 10v + 6(-11 + v) = v + 3 + 6 -30 + 10v + (-11 * 6 + v * 6) = v + 3 + 6 -30 + 10v + (-66 + 6v) = v + 3 + 6 Reorder the terms: -30 + -66 + 10v + 6v = v + 3 + 6 Combine like terms: -30 + -66 = -96 -96 + 10v + 6v = v + 3 + 6 Combine like terms: 10v + 6v = 16v -96 + 16v = v + 3 + 6 Reorder the terms: -96 + 16v = 3 + 6 + v Combine like terms: 3 + 6 = 9 -96 + 16v = 9 + v Solving -96 + 16v = 9 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -96 + 16v + -1v = 9 + v + -1v Combine like terms: 16v + -1v = 15v -96 + 15v = 9 + v + -1v Combine like terms: v + -1v = 0 -96 + 15v = 9 + 0 -96 + 15v = 9 Add '96' to each side of the equation. -96 + 96 + 15v = 9 + 96 Combine like terms: -96 + 96 = 0 0 + 15v = 9 + 96 15v = 9 + 96 Combine like terms: 9 + 96 = 105 15v = 105 Divide each side by '15'. v = 7 Simplifying v = 7
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