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Simplifying 8(2m + 6) = 8(1 + -1m) Reorder the terms: 8(6 + 2m) = 8(1 + -1m) (6 * 8 + 2m * 8) = 8(1 + -1m) (48 + 16m) = 8(1 + -1m) 48 + 16m = (1 * 8 + -1m * 8) 48 + 16m = (8 + -8m) Solving 48 + 16m = 8 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 48 + 16m + 8m = 8 + -8m + 8m Combine like terms: 16m + 8m = 24m 48 + 24m = 8 + -8m + 8m Combine like terms: -8m + 8m = 0 48 + 24m = 8 + 0 48 + 24m = 8 Add '-48' to each side of the equation. 48 + -48 + 24m = 8 + -48 Combine like terms: 48 + -48 = 0 0 + 24m = 8 + -48 24m = 8 + -48 Combine like terms: 8 + -48 = -40 24m = -40 Divide each side by '24'. m = -1.666666667 Simplifying m = -1.666666667
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