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Simplifying 5 + -5z = 12 + -1(5z + 7) Reorder the terms: 5 + -5z = 12 + -1(7 + 5z) 5 + -5z = 12 + (7 * -1 + 5z * -1) 5 + -5z = 12 + (-7 + -5z) Combine like terms: 12 + -7 = 5 5 + -5z = 5 + -5z Add '-5' to each side of the equation. 5 + -5 + -5z = 5 + -5 + -5z Combine like terms: 5 + -5 = 0 0 + -5z = 5 + -5 + -5z -5z = 5 + -5 + -5z Combine like terms: 5 + -5 = 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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