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