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Simplifying (3x + 4y) + 5z = 3x + (4y + 5z) Remove parenthesis around (3x + 4y) 3x + 4y + 5z = 3x + (4y + 5z) Remove parenthesis around (4y + 5z) 3x + 4y + 5z = 3x + 4y + 5z Add '-3x' to each side of the equation. 3x + 4y + -3x + 5z = 3x + 4y + -3x + 5z Reorder the terms: 3x + -3x + 4y + 5z = 3x + 4y + -3x + 5z Combine like terms: 3x + -3x = 0 0 + 4y + 5z = 3x + 4y + -3x + 5z 4y + 5z = 3x + 4y + -3x + 5z Reorder the terms: 4y + 5z = 3x + -3x + 4y + 5z Combine like terms: 3x + -3x = 0 4y + 5z = 0 + 4y + 5z 4y + 5z = 4y + 5z Add '-4y' to each side of the equation. 4y + -4y + 5z = 4y + -4y + 5z Combine like terms: 4y + -4y = 0 0 + 5z = 4y + -4y + 5z 5z = 4y + -4y + 5z Combine like terms: 4y + -4y = 0 5z = 0 + 5z 5z = 5z Add '-5z' to each side of the equation. 5z + -5z = 5z + -5z Combine like terms: 5z + -5z = 0 0 = 5z + -5z Combine like terms: 5z + -5z = 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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