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Simplifying x2 + (2m + -3) + 2m + 6 = 0 Reorder the terms: x2 + (-3 + 2m) + 2m + 6 = 0 Remove parenthesis around (-3 + 2m) x2 + -3 + 2m + 2m + 6 = 0 Reorder the terms: -3 + 6 + 2m + 2m + x2 = 0 Combine like terms: -3 + 6 = 3 3 + 2m + 2m + x2 = 0 Combine like terms: 2m + 2m = 4m 3 + 4m + x2 = 0 Solving 3 + 4m + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4m + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + 4m + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4m + x2 = 0 + -3 4m + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 4m + x2 = -3 Add '-1x2' to each side of the equation. 4m + x2 + -1x2 = -3 + -1x2 Combine like terms: x2 + -1x2 = 0 4m + 0 = -3 + -1x2 4m = -3 + -1x2 Divide each side by '4'. m = -0.75 + -0.25x2 Simplifying m = -0.75 + -0.25x2
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