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Simplifying 12z + 5(z + 2) = 30 Reorder the terms: 12z + 5(2 + z) = 30 12z + (2 * 5 + z * 5) = 30 12z + (10 + 5z) = 30 Reorder the terms: 10 + 12z + 5z = 30 Combine like terms: 12z + 5z = 17z 10 + 17z = 30 Solving 10 + 17z = 30 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 17z = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 17z = 30 + -10 17z = 30 + -10 Combine like terms: 30 + -10 = 20 17z = 20 Divide each side by '17'. z = 1.176470588 Simplifying z = 1.176470588
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