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Simplifying 4z + 3(6 + -1z) = (2 + -4) + 4 4z + (6 * 3 + -1z * 3) = (2 + -4) + 4 4z + (18 + -3z) = (2 + -4) + 4 Reorder the terms: 18 + 4z + -3z = (2 + -4) + 4 Combine like terms: 4z + -3z = 1z 18 + 1z = (2 + -4) + 4 Combine like terms: 2 + -4 = -2 18 + 1z = (-2) + 4 18 + 1z = -2 + 4 Combine like terms: -2 + 4 = 2 18 + 1z = 2 Solving 18 + 1z = 2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. 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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