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Simplifying -81 = -6(1 + 4m) + -1m -81 = (1 * -6 + 4m * -6) + -1m -81 = (-6 + -24m) + -1m Combine like terms: -24m + -1m = -25m -81 = -6 + -25m Solving -81 = -6 + -25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '25m' to each side of the equation. -81 + 25m = -6 + -25m + 25m Combine like terms: -25m + 25m = 0 -81 + 25m = -6 + 0 -81 + 25m = -6 Add '81' to each side of the equation. -81 + 81 + 25m = -6 + 81 Combine like terms: -81 + 81 = 0 0 + 25m = -6 + 81 25m = -6 + 81 Combine like terms: -6 + 81 = 75 25m = 75 Divide each side by '25'. m = 3 Simplifying m = 3
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