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Simplifying -2(3m + -7) + 7(m + -4) = 11 + -8 Reorder the terms: -2(-7 + 3m) + 7(m + -4) = 11 + -8 (-7 * -2 + 3m * -2) + 7(m + -4) = 11 + -8 (14 + -6m) + 7(m + -4) = 11 + -8 Reorder the terms: 14 + -6m + 7(-4 + m) = 11 + -8 14 + -6m + (-4 * 7 + m * 7) = 11 + -8 14 + -6m + (-28 + 7m) = 11 + -8 Reorder the terms: 14 + -28 + -6m + 7m = 11 + -8 Combine like terms: 14 + -28 = -14 -14 + -6m + 7m = 11 + -8 Combine like terms: -6m + 7m = 1m -14 + 1m = 11 + -8 Combine like terms: 11 + -8 = 3 -14 + 1m = 3 Solving -14 + 1m = 3 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1m = 3 + 14 Combine like terms: -14 + 14 = 0 0 + 1m = 3 + 14 1m = 3 + 14 Combine like terms: 3 + 14 = 17 1m = 17 Divide each side by '1'. m = 17 Simplifying m = 17
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