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Simplifying m2 + 2mn + n2 = m2 + -1n2 Reorder the terms: 2mn + m2 + n2 = m2 + -1n2 Add '-1m2' to each side of the equation. 2mn + m2 + -1m2 + n2 = m2 + -1m2 + -1n2 Combine like terms: m2 + -1m2 = 0 2mn + 0 + n2 = m2 + -1m2 + -1n2 2mn + n2 = m2 + -1m2 + -1n2 Combine like terms: m2 + -1m2 = 0 2mn + n2 = 0 + -1n2 2mn + n2 = -1n2 Solving 2mn + n2 = -1n2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1n2' to each side of the equation. 2mn + n2 + -1n2 = -1n2 + -1n2 Combine like terms: n2 + -1n2 = 0 2mn + 0 = -1n2 + -1n2 2mn = -1n2 + -1n2 Combine like terms: -1n2 + -1n2 = -2n2 2mn = -2n2 Divide each side by '2n'. m = -1n Simplifying m = -1n
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