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Simplifying 2(5z + -4) = 3(3z + 6) Reorder the terms: 2(-4 + 5z) = 3(3z + 6) (-4 * 2 + 5z * 2) = 3(3z + 6) (-8 + 10z) = 3(3z + 6) Reorder the terms: -8 + 10z = 3(6 + 3z) -8 + 10z = (6 * 3 + 3z * 3) -8 + 10z = (18 + 9z) Solving -8 + 10z = 18 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -8 + 10z + -9z = 18 + 9z + -9z Combine like terms: 10z + -9z = 1z -8 + 1z = 18 + 9z + -9z Combine like terms: 9z + -9z = 0 -8 + 1z = 18 + 0 -8 + 1z = 18 Add '8' to each side of the equation. -8 + 8 + 1z = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 1z = 18 + 8 1z = 18 + 8 Combine like terms: 18 + 8 = 26 1z = 26 Divide each side by '1'. z = 26 Simplifying z = 26
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