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Simplifying 6(1 + -5m) + -8(2m + -4) = 38 (1 * 6 + -5m * 6) + -8(2m + -4) = 38 (6 + -30m) + -8(2m + -4) = 38 Reorder the terms: 6 + -30m + -8(-4 + 2m) = 38 6 + -30m + (-4 * -8 + 2m * -8) = 38 6 + -30m + (32 + -16m) = 38 Reorder the terms: 6 + 32 + -30m + -16m = 38 Combine like terms: 6 + 32 = 38 38 + -30m + -16m = 38 Combine like terms: -30m + -16m = -46m 38 + -46m = 38 Add '-38' to each side of the equation. 38 + -38 + -46m = 38 + -38 Combine like terms: 38 + -38 = 0 0 + -46m = 38 + -38 -46m = 38 + -38 Combine like terms: 38 + -38 = 0 -46m = 0 Solving -46m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by '-46'. m = 0 Simplifying m = 0
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