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Simplifying 6(z + 6) + -2(2z + 5) = 18 Reorder the terms: 6(6 + z) + -2(2z + 5) = 18 (6 * 6 + z * 6) + -2(2z + 5) = 18 (36 + 6z) + -2(2z + 5) = 18 Reorder the terms: 36 + 6z + -2(5 + 2z) = 18 36 + 6z + (5 * -2 + 2z * -2) = 18 36 + 6z + (-10 + -4z) = 18 Reorder the terms: 36 + -10 + 6z + -4z = 18 Combine like terms: 36 + -10 = 26 26 + 6z + -4z = 18 Combine like terms: 6z + -4z = 2z 26 + 2z = 18 Solving 26 + 2z = 18 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 2z = 18 + -26 Combine like terms: 26 + -26 = 0 0 + 2z = 18 + -26 2z = 18 + -26 Combine like terms: 18 + -26 = -8 2z = -8 Divide each side by '2'. z = -4 Simplifying z = -4
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