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Simplifying -3v + -13 = -8(v + -4) Reorder the terms: -13 + -3v = -8(v + -4) Reorder the terms: -13 + -3v = -8(-4 + v) -13 + -3v = (-4 * -8 + v * -8) -13 + -3v = (32 + -8v) Solving -13 + -3v = 32 + -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. -13 + -3v + 8v = 32 + -8v + 8v Combine like terms: -3v + 8v = 5v -13 + 5v = 32 + -8v + 8v Combine like terms: -8v + 8v = 0 -13 + 5v = 32 + 0 -13 + 5v = 32 Add '13' to each side of the equation. -13 + 13 + 5v = 32 + 13 Combine like terms: -13 + 13 = 0 0 + 5v = 32 + 13 5v = 32 + 13 Combine like terms: 32 + 13 = 45 5v = 45 Divide each side by '5'. v = 9 Simplifying v = 9
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