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Simplifying 3(6v + -4) = 14(2v + -4) Reorder the terms: 3(-4 + 6v) = 14(2v + -4) (-4 * 3 + 6v * 3) = 14(2v + -4) (-12 + 18v) = 14(2v + -4) Reorder the terms: -12 + 18v = 14(-4 + 2v) -12 + 18v = (-4 * 14 + 2v * 14) -12 + 18v = (-56 + 28v) Solving -12 + 18v = -56 + 28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28v' to each side of the equation. -12 + 18v + -28v = -56 + 28v + -28v Combine like terms: 18v + -28v = -10v -12 + -10v = -56 + 28v + -28v Combine like terms: 28v + -28v = 0 -12 + -10v = -56 + 0 -12 + -10v = -56 Add '12' to each side of the equation. -12 + 12 + -10v = -56 + 12 Combine like terms: -12 + 12 = 0 0 + -10v = -56 + 12 -10v = -56 + 12 Combine like terms: -56 + 12 = -44 -10v = -44 Divide each side by '-10'. v = 4.4 Simplifying v = 4.4
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