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Simplifying 6(2z + 7) = 5(9 + -3z) Reorder the terms: 6(7 + 2z) = 5(9 + -3z) (7 * 6 + 2z * 6) = 5(9 + -3z) (42 + 12z) = 5(9 + -3z) 42 + 12z = (9 * 5 + -3z * 5) 42 + 12z = (45 + -15z) Solving 42 + 12z = 45 + -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. 42 + 12z + 15z = 45 + -15z + 15z Combine like terms: 12z + 15z = 27z 42 + 27z = 45 + -15z + 15z Combine like terms: -15z + 15z = 0 42 + 27z = 45 + 0 42 + 27z = 45 Add '-42' to each side of the equation. 42 + -42 + 27z = 45 + -42 Combine like terms: 42 + -42 = 0 0 + 27z = 45 + -42 27z = 45 + -42 Combine like terms: 45 + -42 = 3 27z = 3 Divide each side by '27'. z = 0.1111111111 Simplifying z = 0.1111111111
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