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Simplifying 18 + -6z = 4z + -2(z + 3) Reorder the terms: 18 + -6z = 4z + -2(3 + z) 18 + -6z = 4z + (3 * -2 + z * -2) 18 + -6z = 4z + (-6 + -2z) Reorder the terms: 18 + -6z = -6 + 4z + -2z Combine like terms: 4z + -2z = 2z 18 + -6z = -6 + 2z Solving 18 + -6z = -6 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 18 + -6z + -2z = -6 + 2z + -2z Combine like terms: -6z + -2z = -8z 18 + -8z = -6 + 2z + -2z Combine like terms: 2z + -2z = 0 18 + -8z = -6 + 0 18 + -8z = -6 Add '-18' to each side of the equation. 18 + -18 + -8z = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -8z = -6 + -18 -8z = -6 + -18 Combine like terms: -6 + -18 = -24 -8z = -24 Divide each side by '-8'. z = 3 Simplifying z = 3
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