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Simplifying 6m + 6(2 + -3n) = -84 6m + (2 * 6 + -3n * 6) = -84 6m + (12 + -18n) = -84 Reorder the terms: 12 + 6m + -18n = -84 Solving 12 + 6m + -18n = -84 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 6m + -12 + -18n = -84 + -12 Reorder the terms: 12 + -12 + 6m + -18n = -84 + -12 Combine like terms: 12 + -12 = 0 0 + 6m + -18n = -84 + -12 6m + -18n = -84 + -12 Combine like terms: -84 + -12 = -96 6m + -18n = -96 Add '18n' to each side of the equation. 6m + -18n + 18n = -96 + 18n Combine like terms: -18n + 18n = 0 6m + 0 = -96 + 18n 6m = -96 + 18n Divide each side by '6'. m = -16 + 3n Simplifying m = -16 + 3n
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