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