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Simplifying -3(3m + -9) + 10(m + -4) = 14 + -7 Reorder the terms: -3(-9 + 3m) + 10(m + -4) = 14 + -7 (-9 * -3 + 3m * -3) + 10(m + -4) = 14 + -7 (27 + -9m) + 10(m + -4) = 14 + -7 Reorder the terms: 27 + -9m + 10(-4 + m) = 14 + -7 27 + -9m + (-4 * 10 + m * 10) = 14 + -7 27 + -9m + (-40 + 10m) = 14 + -7 Reorder the terms: 27 + -40 + -9m + 10m = 14 + -7 Combine like terms: 27 + -40 = -13 -13 + -9m + 10m = 14 + -7 Combine like terms: -9m + 10m = 1m -13 + 1m = 14 + -7 Combine like terms: 14 + -7 = 7 -13 + 1m = 7 Solving -13 + 1m = 7 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1m = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 1m = 7 + 13 1m = 7 + 13 Combine like terms: 7 + 13 = 20 1m = 20 Divide each side by '1'. m = 20 Simplifying m = 20
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