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Simplifying 5(2z + 5) = 3(4z + 3) Reorder the terms: 5(5 + 2z) = 3(4z + 3) (5 * 5 + 2z * 5) = 3(4z + 3) (25 + 10z) = 3(4z + 3) Reorder the terms: 25 + 10z = 3(3 + 4z) 25 + 10z = (3 * 3 + 4z * 3) 25 + 10z = (9 + 12z) Solving 25 + 10z = 9 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 25 + 10z + -12z = 9 + 12z + -12z Combine like terms: 10z + -12z = -2z 25 + -2z = 9 + 12z + -12z Combine like terms: 12z + -12z = 0 25 + -2z = 9 + 0 25 + -2z = 9 Add '-25' to each side of the equation. 25 + -25 + -2z = 9 + -25 Combine like terms: 25 + -25 = 0 0 + -2z = 9 + -25 -2z = 9 + -25 Combine like terms: 9 + -25 = -16 -2z = -16 Divide each side by '-2'. z = 8 Simplifying z = 8
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