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Simplifying 10 + -1z = 8(z + 3) Reorder the terms: 10 + -1z = 8(3 + z) 10 + -1z = (3 * 8 + z * 8) 10 + -1z = (24 + 8z) Solving 10 + -1z = 24 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 10 + -1z + -8z = 24 + 8z + -8z Combine like terms: -1z + -8z = -9z 10 + -9z = 24 + 8z + -8z Combine like terms: 8z + -8z = 0 10 + -9z = 24 + 0 10 + -9z = 24 Add '-10' to each side of the equation. 10 + -10 + -9z = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -9z = 24 + -10 -9z = 24 + -10 Combine like terms: 24 + -10 = 14 -9z = 14 Divide each side by '-9'. z = -1.555555556 Simplifying z = -1.555555556
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