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Simplifying 6(z + 2) + -2(2z + 5) = 18 Reorder the terms: 6(2 + z) + -2(2z + 5) = 18 (2 * 6 + z * 6) + -2(2z + 5) = 18 (12 + 6z) + -2(2z + 5) = 18 Reorder the terms: 12 + 6z + -2(5 + 2z) = 18 12 + 6z + (5 * -2 + 2z * -2) = 18 12 + 6z + (-10 + -4z) = 18 Reorder the terms: 12 + -10 + 6z + -4z = 18 Combine like terms: 12 + -10 = 2 2 + 6z + -4z = 18 Combine like terms: 6z + -4z = 2z 2 + 2z = 18 Solving 2 + 2z = 18 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2z = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 2z = 18 + -2 2z = 18 + -2 Combine like terms: 18 + -2 = 16 2z = 16 Divide each side by '2'. z = 8 Simplifying z = 8
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