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