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Simplifying -5(8m + -10) = 6 + -4(9m + -9) Reorder the terms: -5(-10 + 8m) = 6 + -4(9m + -9) (-10 * -5 + 8m * -5) = 6 + -4(9m + -9) (50 + -40m) = 6 + -4(9m + -9) Reorder the terms: 50 + -40m = 6 + -4(-9 + 9m) 50 + -40m = 6 + (-9 * -4 + 9m * -4) 50 + -40m = 6 + (36 + -36m) Combine like terms: 6 + 36 = 42 50 + -40m = 42 + -36m Solving 50 + -40m = 42 + -36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '36m' to each side of the equation. 50 + -40m + 36m = 42 + -36m + 36m Combine like terms: -40m + 36m = -4m 50 + -4m = 42 + -36m + 36m Combine like terms: -36m + 36m = 0 50 + -4m = 42 + 0 50 + -4m = 42 Add '-50' to each side of the equation. 50 + -50 + -4m = 42 + -50 Combine like terms: 50 + -50 = 0 0 + -4m = 42 + -50 -4m = 42 + -50 Combine like terms: 42 + -50 = -8 -4m = -8 Divide each side by '-4'. m = 2 Simplifying m = 2
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