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Simplifying 9 + 5(1 + 4z) = -21 9 + (1 * 5 + 4z * 5) = -21 9 + (5 + 20z) = -21 Combine like terms: 9 + 5 = 14 14 + 20z = -21 Solving 14 + 20z = -21 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 20z = -21 + -14 Combine like terms: 14 + -14 = 0 0 + 20z = -21 + -14 20z = -21 + -14 Combine like terms: -21 + -14 = -35 20z = -35 Divide each side by '20'. z = -1.75 Simplifying z = -1.75
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