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Simplifying 9(z + -5) = 8 + 10z Reorder the terms: 9(-5 + z) = 8 + 10z (-5 * 9 + z * 9) = 8 + 10z (-45 + 9z) = 8 + 10z Solving -45 + 9z = 8 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -45 + 9z + -10z = 8 + 10z + -10z Combine like terms: 9z + -10z = -1z -45 + -1z = 8 + 10z + -10z Combine like terms: 10z + -10z = 0 -45 + -1z = 8 + 0 -45 + -1z = 8 Add '45' to each side of the equation. -45 + 45 + -1z = 8 + 45 Combine like terms: -45 + 45 = 0 0 + -1z = 8 + 45 -1z = 8 + 45 Combine like terms: 8 + 45 = 53 -1z = 53 Divide each side by '-1'. z = -53 Simplifying z = -53
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