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Simplifying (5 + m) + n = 5 + (m + n) Remove parenthesis around (5 + m) 5 + m + n = 5 + (m + n) Remove parenthesis around (m + n) 5 + m + n = 5 + m + n Add '-5' to each side of the equation. 5 + m + -5 + n = 5 + m + -5 + n Reorder the terms: 5 + -5 + m + n = 5 + m + -5 + n Combine like terms: 5 + -5 = 0 0 + m + n = 5 + m + -5 + n m + n = 5 + m + -5 + n Reorder the terms: m + n = 5 + -5 + m + n Combine like terms: 5 + -5 = 0 m + n = 0 + m + n m + n = m + n Add '-1m' to each side of the equation. m + -1m + n = m + -1m + n Combine like terms: m + -1m = 0 0 + n = m + -1m + n n = m + -1m + n Combine like terms: m + -1m = 0 n = 0 + n n = n Add '-1n' to each side of the equation. n + -1n = n + -1n Combine like terms: n + -1n = 0 0 = n + -1n Combine like terms: n + -1n = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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