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Simplifying (p + q) + 7 = 7 + (p + q) Remove parenthesis around (p + q) p + q + 7 = 7 + (p + q) Reorder the terms: 7 + p + q = 7 + (p + q) Remove parenthesis around (p + q) 7 + p + q = 7 + p + q Add '-7' to each side of the equation. 7 + p + -7 + q = 7 + p + -7 + q Reorder the terms: 7 + -7 + p + q = 7 + p + -7 + q Combine like terms: 7 + -7 = 0 0 + p + q = 7 + p + -7 + q p + q = 7 + p + -7 + q Reorder the terms: p + q = 7 + -7 + p + q Combine like terms: 7 + -7 = 0 p + q = 0 + p + q p + q = p + q Add '-1p' to each side of the equation. p + -1p + q = p + -1p + q Combine like terms: p + -1p = 0 0 + q = p + -1p + q q = p + -1p + q Combine like terms: p + -1p = 0 q = 0 + q q = q Add '-1q' to each side of the equation. q + -1q = q + -1q Combine like terms: q + -1q = 0 0 = q + -1q Combine like terms: q + -1q = 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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