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Simplifying 6(z + 9) + 4z = 8 + -1(z + 2) Reorder the terms: 6(9 + z) + 4z = 8 + -1(z + 2) (9 * 6 + z * 6) + 4z = 8 + -1(z + 2) (54 + 6z) + 4z = 8 + -1(z + 2) Combine like terms: 6z + 4z = 10z 54 + 10z = 8 + -1(z + 2) Reorder the terms: 54 + 10z = 8 + -1(2 + z) 54 + 10z = 8 + (2 * -1 + z * -1) 54 + 10z = 8 + (-2 + -1z) Combine like terms: 8 + -2 = 6 54 + 10z = 6 + -1z Solving 54 + 10z = 6 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 54 + 10z + z = 6 + -1z + z Combine like terms: 10z + z = 11z 54 + 11z = 6 + -1z + z Combine like terms: -1z + z = 0 54 + 11z = 6 + 0 54 + 11z = 6 Add '-54' to each side of the equation. 54 + -54 + 11z = 6 + -54 Combine like terms: 54 + -54 = 0 0 + 11z = 6 + -54 11z = 6 + -54 Combine like terms: 6 + -54 = -48 11z = -48 Divide each side by '11'. z = -4.363636364 Simplifying z = -4.363636364
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