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Simplifying 6(1 + 4m) = -8(-2m + 5) + -4 (1 * 6 + 4m * 6) = -8(-2m + 5) + -4 (6 + 24m) = -8(-2m + 5) + -4 Reorder the terms: 6 + 24m = -8(5 + -2m) + -4 6 + 24m = (5 * -8 + -2m * -8) + -4 6 + 24m = (-40 + 16m) + -4 Reorder the terms: 6 + 24m = -40 + -4 + 16m Combine like terms: -40 + -4 = -44 6 + 24m = -44 + 16m Solving 6 + 24m = -44 + 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. 6 + 24m + -16m = -44 + 16m + -16m Combine like terms: 24m + -16m = 8m 6 + 8m = -44 + 16m + -16m Combine like terms: 16m + -16m = 0 6 + 8m = -44 + 0 6 + 8m = -44 Add '-6' to each side of the equation. 6 + -6 + 8m = -44 + -6 Combine like terms: 6 + -6 = 0 0 + 8m = -44 + -6 8m = -44 + -6 Combine like terms: -44 + -6 = -50 8m = -50 Divide each side by '8'. m = -6.25 Simplifying m = -6.25
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