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Simplifying 8z + 18 = 2(2z + -9) Reorder the terms: 18 + 8z = 2(2z + -9) Reorder the terms: 18 + 8z = 2(-9 + 2z) 18 + 8z = (-9 * 2 + 2z * 2) 18 + 8z = (-18 + 4z) Solving 18 + 8z = -18 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 18 + 8z + -4z = -18 + 4z + -4z Combine like terms: 8z + -4z = 4z 18 + 4z = -18 + 4z + -4z Combine like terms: 4z + -4z = 0 18 + 4z = -18 + 0 18 + 4z = -18 Add '-18' to each side of the equation. 18 + -18 + 4z = -18 + -18 Combine like terms: 18 + -18 = 0 0 + 4z = -18 + -18 4z = -18 + -18 Combine like terms: -18 + -18 = -36 4z = -36 Divide each side by '4'. z = -9 Simplifying z = -9
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