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Simplifying 5(6p + (p + 3m) + 6m) = 0 Reorder the terms: 5(6p + (3m + p) + 6m) = 0 Remove parenthesis around (3m + p) 5(6p + 3m + p + 6m) = 0 Reorder the terms: 5(3m + 6m + 6p + p) = 0 Combine like terms: 3m + 6m = 9m 5(9m + 6p + p) = 0 Combine like terms: 6p + p = 7p 5(9m + 7p) = 0 (9m * 5 + 7p * 5) = 0 (45m + 35p) = 0 Solving 45m + 35p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35p' to each side of the equation. 45m + 35p + -35p = 0 + -35p Combine like terms: 35p + -35p = 0 45m + 0 = 0 + -35p 45m = 0 + -35p Remove the zero: 45m = -35p Divide each side by '45'. m = -0.7777777778p Simplifying m = -0.7777777778p
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