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Simplifying 9z + 5(8z + -3) = 279 Reorder the terms: 9z + 5(-3 + 8z) = 279 9z + (-3 * 5 + 8z * 5) = 279 9z + (-15 + 40z) = 279 Reorder the terms: -15 + 9z + 40z = 279 Combine like terms: 9z + 40z = 49z -15 + 49z = 279 Solving -15 + 49z = 279 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 49z = 279 + 15 Combine like terms: -15 + 15 = 0 0 + 49z = 279 + 15 49z = 279 + 15 Combine like terms: 279 + 15 = 294 49z = 294 Divide each side by '49'. z = 6 Simplifying z = 6
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