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Simplifying 3(z + 2) = 5(8 + -5z) Reorder the terms: 3(2 + z) = 5(8 + -5z) (2 * 3 + z * 3) = 5(8 + -5z) (6 + 3z) = 5(8 + -5z) 6 + 3z = (8 * 5 + -5z * 5) 6 + 3z = (40 + -25z) Solving 6 + 3z = 40 + -25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '25z' to each side of the equation. 6 + 3z + 25z = 40 + -25z + 25z Combine like terms: 3z + 25z = 28z 6 + 28z = 40 + -25z + 25z Combine like terms: -25z + 25z = 0 6 + 28z = 40 + 0 6 + 28z = 40 Add '-6' to each side of the equation. 6 + -6 + 28z = 40 + -6 Combine like terms: 6 + -6 = 0 0 + 28z = 40 + -6 28z = 40 + -6 Combine like terms: 40 + -6 = 34 28z = 34 Divide each side by '28'. z = 1.214285714 Simplifying z = 1.214285714
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