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Simplifying 4(6 + -1z) + z = 21 (6 * 4 + -1z * 4) + z = 21 (24 + -4z) + z = 21 Combine like terms: -4z + z = -3z 24 + -3z = 21 Solving 24 + -3z = 21 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -3z = 21 + -24 Combine like terms: 24 + -24 = 0 0 + -3z = 21 + -24 -3z = 21 + -24 Combine like terms: 21 + -24 = -3 -3z = -3 Divide each side by '-3'. z = 1 Simplifying z = 1
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