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Simplifying 5z + 42 = 7(z + 6) + -2z Reorder the terms: 42 + 5z = 7(z + 6) + -2z Reorder the terms: 42 + 5z = 7(6 + z) + -2z 42 + 5z = (6 * 7 + z * 7) + -2z 42 + 5z = (42 + 7z) + -2z Combine like terms: 7z + -2z = 5z 42 + 5z = 42 + 5z Add '-42' to each side of the equation. 42 + -42 + 5z = 42 + -42 + 5z Combine like terms: 42 + -42 = 0 0 + 5z = 42 + -42 + 5z 5z = 42 + -42 + 5z Combine like terms: 42 + -42 = 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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