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Simplifying -4(-10z + 1) + 12 = 20(2z + 5) + -92 Reorder the terms: -4(1 + -10z) + 12 = 20(2z + 5) + -92 (1 * -4 + -10z * -4) + 12 = 20(2z + 5) + -92 (-4 + 40z) + 12 = 20(2z + 5) + -92 Reorder the terms: -4 + 12 + 40z = 20(2z + 5) + -92 Combine like terms: -4 + 12 = 8 8 + 40z = 20(2z + 5) + -92 Reorder the terms: 8 + 40z = 20(5 + 2z) + -92 8 + 40z = (5 * 20 + 2z * 20) + -92 8 + 40z = (100 + 40z) + -92 Reorder the terms: 8 + 40z = 100 + -92 + 40z Combine like terms: 100 + -92 = 8 8 + 40z = 8 + 40z Add '-8' to each side of the equation. 8 + -8 + 40z = 8 + -8 + 40z Combine like terms: 8 + -8 = 0 0 + 40z = 8 + -8 + 40z 40z = 8 + -8 + 40z Combine like terms: 8 + -8 = 0 40z = 0 + 40z 40z = 40z Add '-40z' to each side of the equation. 40z + -40z = 40z + -40z Combine like terms: 40z + -40z = 0 0 = 40z + -40z Combine like terms: 40z + -40z = 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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