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Simplifying -34 = -4(v + 6) + 3(v + -4) Reorder the terms: -34 = -4(6 + v) + 3(v + -4) -34 = (6 * -4 + v * -4) + 3(v + -4) -34 = (-24 + -4v) + 3(v + -4) Reorder the terms: -34 = -24 + -4v + 3(-4 + v) -34 = -24 + -4v + (-4 * 3 + v * 3) -34 = -24 + -4v + (-12 + 3v) Reorder the terms: -34 = -24 + -12 + -4v + 3v Combine like terms: -24 + -12 = -36 -34 = -36 + -4v + 3v Combine like terms: -4v + 3v = -1v -34 = -36 + -1v Solving -34 = -36 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -34 + v = -36 + -1v + v Combine like terms: -1v + v = 0 -34 + v = -36 + 0 -34 + v = -36 Add '34' to each side of the equation. -34 + 34 + v = -36 + 34 Combine like terms: -34 + 34 = 0 0 + v = -36 + 34 v = -36 + 34 Combine like terms: -36 + 34 = -2 v = -2 Simplifying v = -2
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