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Simplifying 6(z + 5) = 40 Reorder the terms: 6(5 + z) = 40 (5 * 6 + z * 6) = 40 (30 + 6z) = 40 Solving 30 + 6z = 40 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6z = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 6z = 40 + -30 6z = 40 + -30 Combine like terms: 40 + -30 = 10 6z = 10 Divide each side by '6'. z = 1.666666667 Simplifying z = 1.666666667
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