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