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Simplifying 8(m + 8) + 6(1 + 4m) = -1m + -2m Reorder the terms: 8(8 + m) + 6(1 + 4m) = -1m + -2m (8 * 8 + m * 8) + 6(1 + 4m) = -1m + -2m (64 + 8m) + 6(1 + 4m) = -1m + -2m 64 + 8m + (1 * 6 + 4m * 6) = -1m + -2m 64 + 8m + (6 + 24m) = -1m + -2m Reorder the terms: 64 + 6 + 8m + 24m = -1m + -2m Combine like terms: 64 + 6 = 70 70 + 8m + 24m = -1m + -2m Combine like terms: 8m + 24m = 32m 70 + 32m = -1m + -2m Combine like terms: -1m + -2m = -3m 70 + 32m = -3m Solving 70 + 32m = -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 70 + 32m + 3m = -3m + 3m Combine like terms: 32m + 3m = 35m 70 + 35m = -3m + 3m Combine like terms: -3m + 3m = 0 70 + 35m = 0 Add '-70' to each side of the equation. 70 + -70 + 35m = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 35m = 0 + -70 35m = 0 + -70 Combine like terms: 0 + -70 = -70 35m = -70 Divide each side by '35'. m = -2 Simplifying m = -2
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