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Simplifying 7 + 6(1 + 8z) = 30 7 + (1 * 6 + 8z * 6) = 30 7 + (6 + 48z) = 30 Combine like terms: 7 + 6 = 13 13 + 48z = 30 Solving 13 + 48z = 30 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 48z = 30 + -13 Combine like terms: 13 + -13 = 0 0 + 48z = 30 + -13 48z = 30 + -13 Combine like terms: 30 + -13 = 17 48z = 17 Divide each side by '48'. z = 0.3541666667 Simplifying z = 0.3541666667
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