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Simplifying -7 + -4(5 + 3v) = 5 + -8(v + -1) -7 + (5 * -4 + 3v * -4) = 5 + -8(v + -1) -7 + (-20 + -12v) = 5 + -8(v + -1) Combine like terms: -7 + -20 = -27 -27 + -12v = 5 + -8(v + -1) Reorder the terms: -27 + -12v = 5 + -8(-1 + v) -27 + -12v = 5 + (-1 * -8 + v * -8) -27 + -12v = 5 + (8 + -8v) Combine like terms: 5 + 8 = 13 -27 + -12v = 13 + -8v Solving -27 + -12v = 13 + -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. -27 + -12v + 8v = 13 + -8v + 8v Combine like terms: -12v + 8v = -4v -27 + -4v = 13 + -8v + 8v Combine like terms: -8v + 8v = 0 -27 + -4v = 13 + 0 -27 + -4v = 13 Add '27' to each side of the equation. -27 + 27 + -4v = 13 + 27 Combine like terms: -27 + 27 = 0 0 + -4v = 13 + 27 -4v = 13 + 27 Combine like terms: 13 + 27 = 40 -4v = 40 Divide each side by '-4'. v = -10 Simplifying v = -10
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