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Simplifying -9(m + 3) + -5(6m + 8) = -40(m + 2) + -2 Reorder the terms: -9(3 + m) + -5(6m + 8) = -40(m + 2) + -2 (3 * -9 + m * -9) + -5(6m + 8) = -40(m + 2) + -2 (-27 + -9m) + -5(6m + 8) = -40(m + 2) + -2 Reorder the terms: -27 + -9m + -5(8 + 6m) = -40(m + 2) + -2 -27 + -9m + (8 * -5 + 6m * -5) = -40(m + 2) + -2 -27 + -9m + (-40 + -30m) = -40(m + 2) + -2 Reorder the terms: -27 + -40 + -9m + -30m = -40(m + 2) + -2 Combine like terms: -27 + -40 = -67 -67 + -9m + -30m = -40(m + 2) + -2 Combine like terms: -9m + -30m = -39m -67 + -39m = -40(m + 2) + -2 Reorder the terms: -67 + -39m = -40(2 + m) + -2 -67 + -39m = (2 * -40 + m * -40) + -2 -67 + -39m = (-80 + -40m) + -2 Reorder the terms: -67 + -39m = -80 + -2 + -40m Combine like terms: -80 + -2 = -82 -67 + -39m = -82 + -40m Solving -67 + -39m = -82 + -40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '40m' to each side of the equation. -67 + -39m + 40m = -82 + -40m + 40m Combine like terms: -39m + 40m = 1m -67 + 1m = -82 + -40m + 40m Combine like terms: -40m + 40m = 0 -67 + 1m = -82 + 0 -67 + 1m = -82 Add '67' to each side of the equation. -67 + 67 + 1m = -82 + 67 Combine like terms: -67 + 67 = 0 0 + 1m = -82 + 67 1m = -82 + 67 Combine like terms: -82 + 67 = -15 1m = -15 Divide each side by '1'. m = -15 Simplifying m = -15
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