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Simplifying 2(m + -1n2) + -6(n2 + 3m) = 0 (m * 2 + -1n2 * 2) + -6(n2 + 3m) = 0 (2m + -2n2) + -6(n2 + 3m) = 0 Reorder the terms: 2m + -2n2 + -6(3m + n2) = 0 2m + -2n2 + (3m * -6 + n2 * -6) = 0 2m + -2n2 + (-18m + -6n2) = 0 Reorder the terms: 2m + -18m + -2n2 + -6n2 = 0 Combine like terms: 2m + -18m = -16m -16m + -2n2 + -6n2 = 0 Combine like terms: -2n2 + -6n2 = -8n2 -16m + -8n2 = 0 Solving -16m + -8n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8n2' to each side of the equation. -16m + -8n2 + 8n2 = 0 + 8n2 Combine like terms: -8n2 + 8n2 = 0 -16m + 0 = 0 + 8n2 -16m = 0 + 8n2 Remove the zero: -16m = 8n2 Divide each side by '-16'. m = -0.5n2 Simplifying m = -0.5n2
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