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Simplifying 4z + -2(z + -9) = 2 + 3z Reorder the terms: 4z + -2(-9 + z) = 2 + 3z 4z + (-9 * -2 + z * -2) = 2 + 3z 4z + (18 + -2z) = 2 + 3z Reorder the terms: 18 + 4z + -2z = 2 + 3z Combine like terms: 4z + -2z = 2z 18 + 2z = 2 + 3z Solving 18 + 2z = 2 + 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 + 2z + -3z = 2 + 3z + -3z Combine like terms: 2z + -3z = -1z 18 + -1z = 2 + 3z + -3z Combine like terms: 3z + -3z = 0 18 + -1z = 2 + 0 18 + -1z = 2 Add '-18' to each side of the equation. 18 + -18 + -1z = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -1z = 2 + -18 -1z = 2 + -18 Combine like terms: 2 + -18 = -16 -1z = -16 Divide each side by '-1'. z = 16 Simplifying z = 16
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