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Simplifying 3(v + -4) + -8v = -17 Reorder the terms: 3(-4 + v) + -8v = -17 (-4 * 3 + v * 3) + -8v = -17 (-12 + 3v) + -8v = -17 Combine like terms: 3v + -8v = -5v -12 + -5v = -17 Solving -12 + -5v = -17 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5v = -17 + 12 Combine like terms: -12 + 12 = 0 0 + -5v = -17 + 12 -5v = -17 + 12 Combine like terms: -17 + 12 = -5 -5v = -5 Divide each side by '-5'. v = 1 Simplifying v = 1
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