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Simplifying 286 = 6(5m + 1) + 5m Reorder the terms: 286 = 6(1 + 5m) + 5m 286 = (1 * 6 + 5m * 6) + 5m 286 = (6 + 30m) + 5m Combine like terms: 30m + 5m = 35m 286 = 6 + 35m Solving 286 = 6 + 35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35m' to each side of the equation. 286 + -35m = 6 + 35m + -35m Combine like terms: 35m + -35m = 0 286 + -35m = 6 + 0 286 + -35m = 6 Add '-286' to each side of the equation. 286 + -286 + -35m = 6 + -286 Combine like terms: 286 + -286 = 0 0 + -35m = 6 + -286 -35m = 6 + -286 Combine like terms: 6 + -286 = -280 -35m = -280 Divide each side by '-35'. m = 8 Simplifying m = 8
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