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Simplifying 6 = 3z + 3(z + -6) Reorder the terms: 6 = 3z + 3(-6 + z) 6 = 3z + (-6 * 3 + z * 3) 6 = 3z + (-18 + 3z) Reorder the terms: 6 = -18 + 3z + 3z Combine like terms: 3z + 3z = 6z 6 = -18 + 6z Solving 6 = -18 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 6 + -6z = -18 + 6z + -6z Combine like terms: 6z + -6z = 0 6 + -6z = -18 + 0 6 + -6z = -18 Add '-6' to each side of the equation. 6 + -6 + -6z = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -6z = -18 + -6 -6z = -18 + -6 Combine like terms: -18 + -6 = -24 -6z = -24 Divide each side by '-6'. z = 4 Simplifying z = 4
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