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Simplifying 4z + 4 + 18 = 5z + 10 + -3 Reorder the terms: 4 + 18 + 4z = 5z + 10 + -3 Combine like terms: 4 + 18 = 22 22 + 4z = 5z + 10 + -3 Reorder the terms: 22 + 4z = 10 + -3 + 5z Combine like terms: 10 + -3 = 7 22 + 4z = 7 + 5z Solving 22 + 4z = 7 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 22 + 4z + -5z = 7 + 5z + -5z Combine like terms: 4z + -5z = -1z 22 + -1z = 7 + 5z + -5z Combine like terms: 5z + -5z = 0 22 + -1z = 7 + 0 22 + -1z = 7 Add '-22' to each side of the equation. 22 + -22 + -1z = 7 + -22 Combine like terms: 22 + -22 = 0 0 + -1z = 7 + -22 -1z = 7 + -22 Combine like terms: 7 + -22 = -15 -1z = -15 Divide each side by '-1'. z = 15 Simplifying z = 15
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