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Simplifying 8(5m + -2) + -9(8m + -4) = -11m + -7 + 6m Reorder the terms: 8(-2 + 5m) + -9(8m + -4) = -11m + -7 + 6m (-2 * 8 + 5m * 8) + -9(8m + -4) = -11m + -7 + 6m (-16 + 40m) + -9(8m + -4) = -11m + -7 + 6m Reorder the terms: -16 + 40m + -9(-4 + 8m) = -11m + -7 + 6m -16 + 40m + (-4 * -9 + 8m * -9) = -11m + -7 + 6m -16 + 40m + (36 + -72m) = -11m + -7 + 6m Reorder the terms: -16 + 36 + 40m + -72m = -11m + -7 + 6m Combine like terms: -16 + 36 = 20 20 + 40m + -72m = -11m + -7 + 6m Combine like terms: 40m + -72m = -32m 20 + -32m = -11m + -7 + 6m Reorder the terms: 20 + -32m = -7 + -11m + 6m Combine like terms: -11m + 6m = -5m 20 + -32m = -7 + -5m Solving 20 + -32m = -7 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 20 + -32m + 5m = -7 + -5m + 5m Combine like terms: -32m + 5m = -27m 20 + -27m = -7 + -5m + 5m Combine like terms: -5m + 5m = 0 20 + -27m = -7 + 0 20 + -27m = -7 Add '-20' to each side of the equation. 20 + -20 + -27m = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -27m = -7 + -20 -27m = -7 + -20 Combine like terms: -7 + -20 = -27 -27m = -27 Divide each side by '-27'. m = 1 Simplifying m = 1
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