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Simplifying -3(7 + -1m) + -4m = 8(2m + 8) (7 * -3 + -1m * -3) + -4m = 8(2m + 8) (-21 + 3m) + -4m = 8(2m + 8) Combine like terms: 3m + -4m = -1m -21 + -1m = 8(2m + 8) Reorder the terms: -21 + -1m = 8(8 + 2m) -21 + -1m = (8 * 8 + 2m * 8) -21 + -1m = (64 + 16m) Solving -21 + -1m = 64 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. -21 + -1m + -16m = 64 + 16m + -16m Combine like terms: -1m + -16m = -17m -21 + -17m = 64 + 16m + -16m Combine like terms: 16m + -16m = 0 -21 + -17m = 64 + 0 -21 + -17m = 64 Add '21' to each side of the equation. -21 + 21 + -17m = 64 + 21 Combine like terms: -21 + 21 = 0 0 + -17m = 64 + 21 -17m = 64 + 21 Combine like terms: 64 + 21 = 85 -17m = 85 Divide each side by '-17'. m = -5 Simplifying m = -5
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