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Simplifying 4z + 18 + -5z = 2z + 21 Reorder the terms: 18 + 4z + -5z = 2z + 21 Combine like terms: 4z + -5z = -1z 18 + -1z = 2z + 21 Reorder the terms: 18 + -1z = 21 + 2z Solving 18 + -1z = 21 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 18 + -1z + -2z = 21 + 2z + -2z Combine like terms: -1z + -2z = -3z 18 + -3z = 21 + 2z + -2z Combine like terms: 2z + -2z = 0 18 + -3z = 21 + 0 18 + -3z = 21 Add '-18' to each side of the equation. 18 + -18 + -3z = 21 + -18 Combine like terms: 18 + -18 = 0 0 + -3z = 21 + -18 -3z = 21 + -18 Combine like terms: 21 + -18 = 3 -3z = 3 Divide each side by '-3'. z = -1 Simplifying z = -1
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