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Simplifying 3(6z + 7) = 10z + 45 Reorder the terms: 3(7 + 6z) = 10z + 45 (7 * 3 + 6z * 3) = 10z + 45 (21 + 18z) = 10z + 45 Reorder the terms: 21 + 18z = 45 + 10z Solving 21 + 18z = 45 + 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. 21 + 18z + -10z = 45 + 10z + -10z Combine like terms: 18z + -10z = 8z 21 + 8z = 45 + 10z + -10z Combine like terms: 10z + -10z = 0 21 + 8z = 45 + 0 21 + 8z = 45 Add '-21' to each side of the equation. 21 + -21 + 8z = 45 + -21 Combine like terms: 21 + -21 = 0 0 + 8z = 45 + -21 8z = 45 + -21 Combine like terms: 45 + -21 = 24 8z = 24 Divide each side by '8'. z = 3 Simplifying z = 3
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