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Simplifying 5z + 16 = 6z + -12 Reorder the terms: 16 + 5z = 6z + -12 Reorder the terms: 16 + 5z = -12 + 6z Solving 16 + 5z = -12 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 16 + 5z + -6z = -12 + 6z + -6z Combine like terms: 5z + -6z = -1z 16 + -1z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 16 + -1z = -12 + 0 16 + -1z = -12 Add '-16' to each side of the equation. 16 + -16 + -1z = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -1z = -12 + -16 -1z = -12 + -16 Combine like terms: -12 + -16 = -28 -1z = -28 Divide each side by '-1'. z = 28 Simplifying z = 28
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