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Simplifying -7(-3v + 4) + -8v = 7(v + -4) + -2 Reorder the terms: -7(4 + -3v) + -8v = 7(v + -4) + -2 (4 * -7 + -3v * -7) + -8v = 7(v + -4) + -2 (-28 + 21v) + -8v = 7(v + -4) + -2 Combine like terms: 21v + -8v = 13v -28 + 13v = 7(v + -4) + -2 Reorder the terms: -28 + 13v = 7(-4 + v) + -2 -28 + 13v = (-4 * 7 + v * 7) + -2 -28 + 13v = (-28 + 7v) + -2 Reorder the terms: -28 + 13v = -28 + -2 + 7v Combine like terms: -28 + -2 = -30 -28 + 13v = -30 + 7v Solving -28 + 13v = -30 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -28 + 13v + -7v = -30 + 7v + -7v Combine like terms: 13v + -7v = 6v -28 + 6v = -30 + 7v + -7v Combine like terms: 7v + -7v = 0 -28 + 6v = -30 + 0 -28 + 6v = -30 Add '28' to each side of the equation. -28 + 28 + 6v = -30 + 28 Combine like terms: -28 + 28 = 0 0 + 6v = -30 + 28 6v = -30 + 28 Combine like terms: -30 + 28 = -2 6v = -2 Divide each side by '6'. v = -0.3333333333 Simplifying v = -0.3333333333
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