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Simplifying 30 = 5(z + 1) Reorder the terms: 30 = 5(1 + z) 30 = (1 * 5 + z * 5) 30 = (5 + 5z) Solving 30 = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 30 + -5z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 30 + -5z = 5 + 0 30 + -5z = 5 Add '-30' to each side of the equation. 30 + -30 + -5z = 5 + -30 Combine like terms: 30 + -30 = 0 0 + -5z = 5 + -30 -5z = 5 + -30 Combine like terms: 5 + -30 = -25 -5z = -25 Divide each side by '-5'. z = 5 Simplifying z = 5
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