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Simplifying 45 = -3(21 + -1m) + 3(m + -2) 45 = (21 * -3 + -1m * -3) + 3(m + -2) 45 = (-63 + 3m) + 3(m + -2) Reorder the terms: 45 = -63 + 3m + 3(-2 + m) 45 = -63 + 3m + (-2 * 3 + m * 3) 45 = -63 + 3m + (-6 + 3m) Reorder the terms: 45 = -63 + -6 + 3m + 3m Combine like terms: -63 + -6 = -69 45 = -69 + 3m + 3m Combine like terms: 3m + 3m = 6m 45 = -69 + 6m Solving 45 = -69 + 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. 45 + -6m = -69 + 6m + -6m Combine like terms: 6m + -6m = 0 45 + -6m = -69 + 0 45 + -6m = -69 Add '-45' to each side of the equation. 45 + -45 + -6m = -69 + -45 Combine like terms: 45 + -45 = 0 0 + -6m = -69 + -45 -6m = -69 + -45 Combine like terms: -69 + -45 = -114 -6m = -114 Divide each side by '-6'. m = 19 Simplifying m = 19
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