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Simplifying 6(z + 9) + 4z = 8(z + 2) Reorder the terms: 6(9 + z) + 4z = 8(z + 2) (9 * 6 + z * 6) + 4z = 8(z + 2) (54 + 6z) + 4z = 8(z + 2) Combine like terms: 6z + 4z = 10z 54 + 10z = 8(z + 2) Reorder the terms: 54 + 10z = 8(2 + z) 54 + 10z = (2 * 8 + z * 8) 54 + 10z = (16 + 8z) Solving 54 + 10z = 16 + 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. 54 + 10z + -8z = 16 + 8z + -8z Combine like terms: 10z + -8z = 2z 54 + 2z = 16 + 8z + -8z Combine like terms: 8z + -8z = 0 54 + 2z = 16 + 0 54 + 2z = 16 Add '-54' to each side of the equation. 54 + -54 + 2z = 16 + -54 Combine like terms: 54 + -54 = 0 0 + 2z = 16 + -54 2z = 16 + -54 Combine like terms: 16 + -54 = -38 2z = -38 Divide each side by '2'. z = -19 Simplifying z = -19
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