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Simplifying -76 = -4(v + 3) + -1(6v + -6) Reorder the terms: -76 = -4(3 + v) + -1(6v + -6) -76 = (3 * -4 + v * -4) + -1(6v + -6) -76 = (-12 + -4v) + -1(6v + -6) Reorder the terms: -76 = -12 + -4v + -1(-6 + 6v) -76 = -12 + -4v + (-6 * -1 + 6v * -1) -76 = -12 + -4v + (6 + -6v) Reorder the terms: -76 = -12 + 6 + -4v + -6v Combine like terms: -12 + 6 = -6 -76 = -6 + -4v + -6v Combine like terms: -4v + -6v = -10v -76 = -6 + -10v Solving -76 = -6 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. -76 + 10v = -6 + -10v + 10v Combine like terms: -10v + 10v = 0 -76 + 10v = -6 + 0 -76 + 10v = -6 Add '76' to each side of the equation. -76 + 76 + 10v = -6 + 76 Combine like terms: -76 + 76 = 0 0 + 10v = -6 + 76 10v = -6 + 76 Combine like terms: -6 + 76 = 70 10v = 70 Divide each side by '10'. v = 7 Simplifying v = 7
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