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Simplifying -40 = -1(4v + -4) + -2(6 + -6v) Reorder the terms: -40 = -1(-4 + 4v) + -2(6 + -6v) -40 = (-4 * -1 + 4v * -1) + -2(6 + -6v) -40 = (4 + -4v) + -2(6 + -6v) -40 = 4 + -4v + (6 * -2 + -6v * -2) -40 = 4 + -4v + (-12 + 12v) Reorder the terms: -40 = 4 + -12 + -4v + 12v Combine like terms: 4 + -12 = -8 -40 = -8 + -4v + 12v Combine like terms: -4v + 12v = 8v -40 = -8 + 8v Solving -40 = -8 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -40 + -8v = -8 + 8v + -8v Combine like terms: 8v + -8v = 0 -40 + -8v = -8 + 0 -40 + -8v = -8 Add '40' to each side of the equation. -40 + 40 + -8v = -8 + 40 Combine like terms: -40 + 40 = 0 0 + -8v = -8 + 40 -8v = -8 + 40 Combine like terms: -8 + 40 = 32 -8v = 32 Divide each side by '-8'. v = -4 Simplifying v = -4
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