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Simplifying 36 = -3(24 + -1m) + 3(m + -2) 36 = (24 * -3 + -1m * -3) + 3(m + -2) 36 = (-72 + 3m) + 3(m + -2) Reorder the terms: 36 = -72 + 3m + 3(-2 + m) 36 = -72 + 3m + (-2 * 3 + m * 3) 36 = -72 + 3m + (-6 + 3m) Reorder the terms: 36 = -72 + -6 + 3m + 3m Combine like terms: -72 + -6 = -78 36 = -78 + 3m + 3m Combine like terms: 3m + 3m = 6m 36 = -78 + 6m Solving 36 = -78 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 36 + -6m = -78 + 6m + -6m Combine like terms: 6m + -6m = 0 36 + -6m = -78 + 0 36 + -6m = -78 Add '-36' to each side of the equation. 36 + -36 + -6m = -78 + -36 Combine like terms: 36 + -36 = 0 0 + -6m = -78 + -36 -6m = -78 + -36 Combine like terms: -78 + -36 = -114 -6m = -114 Divide each side by '-6'. m = 19 Simplifying m = 19
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