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Simplifying 26 + 3z = 7(5z + 9) Reorder the terms: 26 + 3z = 7(9 + 5z) 26 + 3z = (9 * 7 + 5z * 7) 26 + 3z = (63 + 35z) Solving 26 + 3z = 63 + 35z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-35z' to each side of the equation. 26 + 3z + -35z = 63 + 35z + -35z Combine like terms: 3z + -35z = -32z 26 + -32z = 63 + 35z + -35z Combine like terms: 35z + -35z = 0 26 + -32z = 63 + 0 26 + -32z = 63 Add '-26' to each side of the equation. 26 + -26 + -32z = 63 + -26 Combine like terms: 26 + -26 = 0 0 + -32z = 63 + -26 -32z = 63 + -26 Combine like terms: 63 + -26 = 37 -32z = 37 Divide each side by '-32'. z = -1.15625 Simplifying z = -1.15625
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