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Simplifying -8m + -1[5(11 + -2m) + 8] = 9m -8m + -1[(11 * 5 + -2m * 5) + 8] = 9m -8m + -1[(55 + -10m) + 8] = 9m Reorder the terms: -8m + -1[55 + 8 + -10m] = 9m Combine like terms: 55 + 8 = 63 -8m + -1[63 + -10m] = 9m -8m + [63 * -1 + -10m * -1] = 9m -8m + [-63 + 10m] = 9m Reorder the terms: -63 + -8m + 10m = 9m Combine like terms: -8m + 10m = 2m -63 + 2m = 9m Solving -63 + 2m = 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -63 + 2m + -9m = 9m + -9m Combine like terms: 2m + -9m = -7m -63 + -7m = 9m + -9m Combine like terms: 9m + -9m = 0 -63 + -7m = 0 Add '63' to each side of the equation. -63 + 63 + -7m = 0 + 63 Combine like terms: -63 + 63 = 0 0 + -7m = 0 + 63 -7m = 0 + 63 Combine like terms: 0 + 63 = 63 -7m = 63 Divide each side by '-7'. m = -9 Simplifying m = -9
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