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Simplifying 3z + 16 = 2z + 1 Reorder the terms: 16 + 3z = 2z + 1 Reorder the terms: 16 + 3z = 1 + 2z Solving 16 + 3z = 1 + 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. 16 + 3z + -2z = 1 + 2z + -2z Combine like terms: 3z + -2z = 1z 16 + 1z = 1 + 2z + -2z Combine like terms: 2z + -2z = 0 16 + 1z = 1 + 0 16 + 1z = 1 Add '-16' to each side of the equation. 16 + -16 + 1z = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 1z = 1 + -16 1z = 1 + -16 Combine like terms: 1 + -16 = -15 1z = -15 Divide each side by '1'. z = -15 Simplifying z = -15
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