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Simplifying 3z + -5(9 + 8z) = 0 3z + (9 * -5 + 8z * -5) = 0 3z + (-45 + -40z) = 0 Reorder the terms: -45 + 3z + -40z = 0 Combine like terms: 3z + -40z = -37z -45 + -37z = 0 Solving -45 + -37z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -37z = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -37z = 0 + 45 -37z = 0 + 45 Combine like terms: 0 + 45 = 45 -37z = 45 Divide each side by '-37'. z = -1.216216216 Simplifying z = -1.216216216
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