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Simplifying (x + m) * 2 + n = x2 + 4x + -6 Reorder the terms: (m + x) * 2 + n = x2 + 4x + -6 Reorder the terms for easier multiplication: 2(m + x) + n = x2 + 4x + -6 (m * 2 + x * 2) + n = x2 + 4x + -6 (2m + 2x) + n = x2 + 4x + -6 Reorder the terms: 2m + n + 2x = x2 + 4x + -6 Reorder the terms: 2m + n + 2x = -6 + 4x + x2 Solving 2m + n + 2x = -6 + 4x + x2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 2m + n + -1n + 2x = -6 + 4x + -1n + x2 Combine like terms: n + -1n = 0 2m + 0 + 2x = -6 + 4x + -1n + x2 2m + 2x = -6 + 4x + -1n + x2 Reorder the terms: 2m + 2x = -6 + -1n + 4x + x2 Add '-2x' to each side of the equation. 2m + 2x + -2x = -6 + -1n + 4x + -2x + x2 Combine like terms: 2x + -2x = 0 2m + 0 = -6 + -1n + 4x + -2x + x2 2m = -6 + -1n + 4x + -2x + x2 Combine like terms: 4x + -2x = 2x 2m = -6 + -1n + 2x + x2 Divide each side by '2'. m = -3 + -0.5n + x + 0.5x2 Simplifying m = -3 + -0.5n + x + 0.5x2
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