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Simplifying 6(v + -12) + 5(v + -13) = 6 Reorder the terms: 6(-12 + v) + 5(v + -13) = 6 (-12 * 6 + v * 6) + 5(v + -13) = 6 (-72 + 6v) + 5(v + -13) = 6 Reorder the terms: -72 + 6v + 5(-13 + v) = 6 -72 + 6v + (-13 * 5 + v * 5) = 6 -72 + 6v + (-65 + 5v) = 6 Reorder the terms: -72 + -65 + 6v + 5v = 6 Combine like terms: -72 + -65 = -137 -137 + 6v + 5v = 6 Combine like terms: 6v + 5v = 11v -137 + 11v = 6 Solving -137 + 11v = 6 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '137' to each side of the equation. -137 + 137 + 11v = 6 + 137 Combine like terms: -137 + 137 = 0 0 + 11v = 6 + 137 11v = 6 + 137 Combine like terms: 6 + 137 = 143 11v = 143 Divide each side by '11'. v = 13 Simplifying v = 13
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