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Simplifying (m + -2) * x + 6n + 6 = 0 Reorder the terms: (-2 + m) * x + 6n + 6 = 0 Reorder the terms for easier multiplication: x(-2 + m) + 6n + 6 = 0 (-2 * x + m * x) + 6n + 6 = 0 Reorder the terms: (mx + -2x) + 6n + 6 = 0 (mx + -2x) + 6n + 6 = 0 Reorder the terms: 6 + mx + 6n + -2x = 0 Solving 6 + mx + 6n + -2x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + mx + 6n + -6 + -2x = 0 + -6 Reorder the terms: 6 + -6 + mx + 6n + -2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + mx + 6n + -2x = 0 + -6 mx + 6n + -2x = 0 + -6 Combine like terms: 0 + -6 = -6 mx + 6n + -2x = -6 Add '-6n' to each side of the equation. mx + 6n + -6n + -2x = -6 + -6n Combine like terms: 6n + -6n = 0 mx + 0 + -2x = -6 + -6n mx + -2x = -6 + -6n Add '2x' to each side of the equation. mx + -2x + 2x = -6 + -6n + 2x Combine like terms: -2x + 2x = 0 mx + 0 = -6 + -6n + 2x mx = -6 + -6n + 2x Divide each side by 'x'. m = -6x-1 + -6nx-1 + 2 Simplifying m = -6x-1 + -6nx-1 + 2 Reorder the terms: m = 2 + -6nx-1 + -6x-1
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