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Simplifying 13(z + -4) + -3(z + -9) + -5(z + -9) + -5(z + 4) = 0 Reorder the terms: 13(-4 + z) + -3(z + -9) + -5(z + -9) + -5(z + 4) = 0 (-4 * 13 + z * 13) + -3(z + -9) + -5(z + -9) + -5(z + 4) = 0 (-52 + 13z) + -3(z + -9) + -5(z + -9) + -5(z + 4) = 0 Reorder the terms: -52 + 13z + -3(-9 + z) + -5(z + -9) + -5(z + 4) = 0 -52 + 13z + (-9 * -3 + z * -3) + -5(z + -9) + -5(z + 4) = 0 -52 + 13z + (27 + -3z) + -5(z + -9) + -5(z + 4) = 0 Reorder the terms: -52 + 13z + 27 + -3z + -5(-9 + z) + -5(z + 4) = 0 -52 + 13z + 27 + -3z + (-9 * -5 + z * -5) + -5(z + 4) = 0 -52 + 13z + 27 + -3z + (45 + -5z) + -5(z + 4) = 0 Reorder the terms: -52 + 13z + 27 + -3z + 45 + -5z + -5(4 + z) = 0 -52 + 13z + 27 + -3z + 45 + -5z + (4 * -5 + z * -5) = 0 -52 + 13z + 27 + -3z + 45 + -5z + (-20 + -5z) = 0 Reorder the terms: -52 + 27 + 45 + -20 + 13z + -3z + -5z + -5z = 0 Combine like terms: -52 + 27 = -25 -25 + 45 + -20 + 13z + -3z + -5z + -5z = 0 Combine like terms: -25 + 45 = 20 20 + -20 + 13z + -3z + -5z + -5z = 0 Combine like terms: 20 + -20 = 0 0 + 13z + -3z + -5z + -5z = 0 13z + -3z + -5z + -5z = 0 Combine like terms: 13z + -3z = 10z 10z + -5z + -5z = 0 Combine like terms: 10z + -5z = 5z 5z + -5z = 0 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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