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Simplifying (z + 5) + -7 = (z + -7) + 5 Reorder the terms: (5 + z) + -7 = (z + -7) + 5 Remove parenthesis around (5 + z) 5 + z + -7 = (z + -7) + 5 Reorder the terms: 5 + -7 + z = (z + -7) + 5 Combine like terms: 5 + -7 = -2 -2 + z = (z + -7) + 5 Reorder the terms: -2 + z = (-7 + z) + 5 Remove parenthesis around (-7 + z) -2 + z = -7 + z + 5 Reorder the terms: -2 + z = -7 + 5 + z Combine like terms: -7 + 5 = -2 -2 + z = -2 + z Add '2' to each side of the equation. -2 + 2 + z = -2 + 2 + z Combine like terms: -2 + 2 = 0 0 + z = -2 + 2 + z z = -2 + 2 + z Combine like terms: -2 + 2 = 0 z = 0 + z z = z Add '-1z' to each side of the equation. z + -1z = z + -1z Combine like terms: z + -1z = 0 0 = z + -1z Combine like terms: z + -1z = 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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