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Simplifying 6m + 6n + 42 = 0 Reorder the terms: 42 + 6m + 6n = 0 Solving 42 + 6m + 6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 6m + -42 + 6n = 0 + -42 Reorder the terms: 42 + -42 + 6m + 6n = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 6m + 6n = 0 + -42 6m + 6n = 0 + -42 Combine like terms: 0 + -42 = -42 6m + 6n = -42 Add '-6n' to each side of the equation. 6m + 6n + -6n = -42 + -6n Combine like terms: 6n + -6n = 0 6m + 0 = -42 + -6n 6m = -42 + -6n Divide each side by '6'. m = -7 + -1n Simplifying m = -7 + -1n
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