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Simplifying -24 = -4(-4v + 2) + -8(1 + v) Reorder the terms: -24 = -4(2 + -4v) + -8(1 + v) -24 = (2 * -4 + -4v * -4) + -8(1 + v) -24 = (-8 + 16v) + -8(1 + v) -24 = -8 + 16v + (1 * -8 + v * -8) -24 = -8 + 16v + (-8 + -8v) Reorder the terms: -24 = -8 + -8 + 16v + -8v Combine like terms: -8 + -8 = -16 -24 = -16 + 16v + -8v Combine like terms: 16v + -8v = 8v -24 = -16 + 8v Solving -24 = -16 + 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. -24 + -8v = -16 + 8v + -8v Combine like terms: 8v + -8v = 0 -24 + -8v = -16 + 0 -24 + -8v = -16 Add '24' to each side of the equation. -24 + 24 + -8v = -16 + 24 Combine like terms: -24 + 24 = 0 0 + -8v = -16 + 24 -8v = -16 + 24 Combine like terms: -16 + 24 = 8 -8v = 8 Divide each side by '-8'. v = -1 Simplifying v = -1
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