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Simplifying 4z + 16 = 5z + 10 Reorder the terms: 16 + 4z = 5z + 10 Reorder the terms: 16 + 4z = 10 + 5z Solving 16 + 4z = 10 + 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. 16 + 4z + -5z = 10 + 5z + -5z Combine like terms: 4z + -5z = -1z 16 + -1z = 10 + 5z + -5z Combine like terms: 5z + -5z = 0 16 + -1z = 10 + 0 16 + -1z = 10 Add '-16' to each side of the equation. 16 + -16 + -1z = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -1z = 10 + -16 -1z = 10 + -16 Combine like terms: 10 + -16 = -6 -1z = -6 Divide each side by '-1'. z = 6 Simplifying z = 6
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