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Simplifying 2(3z + 1) + -1(z + -6) = 18 Reorder the terms: 2(1 + 3z) + -1(z + -6) = 18 (1 * 2 + 3z * 2) + -1(z + -6) = 18 (2 + 6z) + -1(z + -6) = 18 Reorder the terms: 2 + 6z + -1(-6 + z) = 18 2 + 6z + (-6 * -1 + z * -1) = 18 2 + 6z + (6 + -1z) = 18 Reorder the terms: 2 + 6 + 6z + -1z = 18 Combine like terms: 2 + 6 = 8 8 + 6z + -1z = 18 Combine like terms: 6z + -1z = 5z 8 + 5z = 18 Solving 8 + 5z = 18 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5z = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 5z = 18 + -8 5z = 18 + -8 Combine like terms: 18 + -8 = 10 5z = 10 Divide each side by '5'. z = 2 Simplifying z = 2
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