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Simplifying 11z + 3 = 10(2z + 3) Reorder the terms: 3 + 11z = 10(2z + 3) Reorder the terms: 3 + 11z = 10(3 + 2z) 3 + 11z = (3 * 10 + 2z * 10) 3 + 11z = (30 + 20z) Solving 3 + 11z = 30 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. 3 + 11z + -20z = 30 + 20z + -20z Combine like terms: 11z + -20z = -9z 3 + -9z = 30 + 20z + -20z Combine like terms: 20z + -20z = 0 3 + -9z = 30 + 0 3 + -9z = 30 Add '-3' to each side of the equation. 3 + -3 + -9z = 30 + -3 Combine like terms: 3 + -3 = 0 0 + -9z = 30 + -3 -9z = 30 + -3 Combine like terms: 30 + -3 = 27 -9z = 27 Divide each side by '-9'. z = -3 Simplifying z = -3
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