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Simplifying 6m + -8(m + -6) = 8m + 2(4 + 5m) Reorder the terms: 6m + -8(-6 + m) = 8m + 2(4 + 5m) 6m + (-6 * -8 + m * -8) = 8m + 2(4 + 5m) 6m + (48 + -8m) = 8m + 2(4 + 5m) Reorder the terms: 48 + 6m + -8m = 8m + 2(4 + 5m) Combine like terms: 6m + -8m = -2m 48 + -2m = 8m + 2(4 + 5m) 48 + -2m = 8m + (4 * 2 + 5m * 2) 48 + -2m = 8m + (8 + 10m) Reorder the terms: 48 + -2m = 8 + 8m + 10m Combine like terms: 8m + 10m = 18m 48 + -2m = 8 + 18m Solving 48 + -2m = 8 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 48 + -2m + -18m = 8 + 18m + -18m Combine like terms: -2m + -18m = -20m 48 + -20m = 8 + 18m + -18m Combine like terms: 18m + -18m = 0 48 + -20m = 8 + 0 48 + -20m = 8 Add '-48' to each side of the equation. 48 + -48 + -20m = 8 + -48 Combine like terms: 48 + -48 = 0 0 + -20m = 8 + -48 -20m = 8 + -48 Combine like terms: 8 + -48 = -40 -20m = -40 Divide each side by '-20'. m = 2 Simplifying m = 2
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