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Simplifying 40 + 6m = 3m + 8(m + 5) Reorder the terms: 40 + 6m = 3m + 8(5 + m) 40 + 6m = 3m + (5 * 8 + m * 8) 40 + 6m = 3m + (40 + 8m) Reorder the terms: 40 + 6m = 40 + 3m + 8m Combine like terms: 3m + 8m = 11m 40 + 6m = 40 + 11m Add '-40' to each side of the equation. 40 + -40 + 6m = 40 + -40 + 11m Combine like terms: 40 + -40 = 0 0 + 6m = 40 + -40 + 11m 6m = 40 + -40 + 11m Combine like terms: 40 + -40 = 0 6m = 0 + 11m 6m = 11m Solving 6m = 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. 6m + -11m = 11m + -11m Combine like terms: 6m + -11m = -5m -5m = 11m + -11m Combine like terms: 11m + -11m = 0 -5m = 0 Divide each side by '-5'. m = 0 Simplifying m = 0
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