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Simplifying 5(2z + -5) = 9(z + 2) + z + -43 Reorder the terms: 5(-5 + 2z) = 9(z + 2) + z + -43 (-5 * 5 + 2z * 5) = 9(z + 2) + z + -43 (-25 + 10z) = 9(z + 2) + z + -43 Reorder the terms: -25 + 10z = 9(2 + z) + z + -43 -25 + 10z = (2 * 9 + z * 9) + z + -43 -25 + 10z = (18 + 9z) + z + -43 Reorder the terms: -25 + 10z = 18 + -43 + 9z + z Combine like terms: 18 + -43 = -25 -25 + 10z = -25 + 9z + z Combine like terms: 9z + z = 10z -25 + 10z = -25 + 10z Add '25' to each side of the equation. -25 + 25 + 10z = -25 + 25 + 10z Combine like terms: -25 + 25 = 0 0 + 10z = -25 + 25 + 10z 10z = -25 + 25 + 10z Combine like terms: -25 + 25 = 0 10z = 0 + 10z 10z = 10z Add '-10z' to each side of the equation. 10z + -10z = 10z + -10z Combine like terms: 10z + -10z = 0 0 = 10z + -10z Combine like terms: 10z + -10z = 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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