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Simplifying (m + 3) + 5 = m + (3 + n) Reorder the terms: (3 + m) + 5 = m + (3 + n) Remove parenthesis around (3 + m) 3 + m + 5 = m + (3 + n) Reorder the terms: 3 + 5 + m = m + (3 + n) Combine like terms: 3 + 5 = 8 8 + m = m + (3 + n) Remove parenthesis around (3 + n) 8 + m = m + 3 + n Reorder the terms: 8 + m = 3 + m + n Add '-1m' to each side of the equation. 8 + m + -1m = 3 + m + -1m + n Combine like terms: m + -1m = 0 8 + 0 = 3 + m + -1m + n 8 = 3 + m + -1m + n Combine like terms: m + -1m = 0 8 = 3 + 0 + n 8 = 3 + n Solving 8 = 3 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 8 + -1n = 3 + n + -1n Combine like terms: n + -1n = 0 8 + -1n = 3 + 0 8 + -1n = 3 Add '-8' to each side of the equation. 8 + -8 + -1n = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 3 + -8 -1n = 3 + -8 Combine like terms: 3 + -8 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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