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Simplifying 9(2 + z) + -4z = 3z + -10 (2 * 9 + z * 9) + -4z = 3z + -10 (18 + 9z) + -4z = 3z + -10 Combine like terms: 9z + -4z = 5z 18 + 5z = 3z + -10 Reorder the terms: 18 + 5z = -10 + 3z Solving 18 + 5z = -10 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 18 + 5z + -3z = -10 + 3z + -3z Combine like terms: 5z + -3z = 2z 18 + 2z = -10 + 3z + -3z Combine like terms: 3z + -3z = 0 18 + 2z = -10 + 0 18 + 2z = -10 Add '-18' to each side of the equation. 18 + -18 + 2z = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 2z = -10 + -18 2z = -10 + -18 Combine like terms: -10 + -18 = -28 2z = -28 Divide each side by '2'. z = -14 Simplifying z = -14
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