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Simplifying -8m + 91 + -8(m + -4) = 9m + -1(7m + -8) + -2m + 3 Reorder the terms: -8m + 91 + -8(-4 + m) = 9m + -1(7m + -8) + -2m + 3 -8m + 91 + (-4 * -8 + m * -8) = 9m + -1(7m + -8) + -2m + 3 -8m + 91 + (32 + -8m) = 9m + -1(7m + -8) + -2m + 3 Reorder the terms: 91 + 32 + -8m + -8m = 9m + -1(7m + -8) + -2m + 3 Combine like terms: 91 + 32 = 123 123 + -8m + -8m = 9m + -1(7m + -8) + -2m + 3 Combine like terms: -8m + -8m = -16m 123 + -16m = 9m + -1(7m + -8) + -2m + 3 Reorder the terms: 123 + -16m = 9m + -1(-8 + 7m) + -2m + 3 123 + -16m = 9m + (-8 * -1 + 7m * -1) + -2m + 3 123 + -16m = 9m + (8 + -7m) + -2m + 3 Reorder the terms: 123 + -16m = 8 + 3 + 9m + -7m + -2m Combine like terms: 8 + 3 = 11 123 + -16m = 11 + 9m + -7m + -2m Combine like terms: 9m + -7m = 2m 123 + -16m = 11 + 2m + -2m Combine like terms: 2m + -2m = 0 123 + -16m = 11 + 0 123 + -16m = 11 Solving 123 + -16m = 11 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-123' to each side of the equation. 123 + -123 + -16m = 11 + -123 Combine like terms: 123 + -123 = 0 0 + -16m = 11 + -123 -16m = 11 + -123 Combine like terms: 11 + -123 = -112 -16m = -112 Divide each side by '-16'. m = 7 Simplifying m = 7
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