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Simplifying -9(m + 3) + -5(4m + 6) = -30(m + 1) + -8 Reorder the terms: -9(3 + m) + -5(4m + 6) = -30(m + 1) + -8 (3 * -9 + m * -9) + -5(4m + 6) = -30(m + 1) + -8 (-27 + -9m) + -5(4m + 6) = -30(m + 1) + -8 Reorder the terms: -27 + -9m + -5(6 + 4m) = -30(m + 1) + -8 -27 + -9m + (6 * -5 + 4m * -5) = -30(m + 1) + -8 -27 + -9m + (-30 + -20m) = -30(m + 1) + -8 Reorder the terms: -27 + -30 + -9m + -20m = -30(m + 1) + -8 Combine like terms: -27 + -30 = -57 -57 + -9m + -20m = -30(m + 1) + -8 Combine like terms: -9m + -20m = -29m -57 + -29m = -30(m + 1) + -8 Reorder the terms: -57 + -29m = -30(1 + m) + -8 -57 + -29m = (1 * -30 + m * -30) + -8 -57 + -29m = (-30 + -30m) + -8 Reorder the terms: -57 + -29m = -30 + -8 + -30m Combine like terms: -30 + -8 = -38 -57 + -29m = -38 + -30m Solving -57 + -29m = -38 + -30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30m' to each side of the equation. -57 + -29m + 30m = -38 + -30m + 30m Combine like terms: -29m + 30m = 1m -57 + 1m = -38 + -30m + 30m Combine like terms: -30m + 30m = 0 -57 + 1m = -38 + 0 -57 + 1m = -38 Add '57' to each side of the equation. -57 + 57 + 1m = -38 + 57 Combine like terms: -57 + 57 = 0 0 + 1m = -38 + 57 1m = -38 + 57 Combine like terms: -38 + 57 = 19 1m = 19 Divide each side by '1'. m = 19 Simplifying m = 19
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