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Simplifying z + 19 = 2z + 16 Reorder the terms: 19 + z = 2z + 16 Reorder the terms: 19 + z = 16 + 2z Solving 19 + z = 16 + 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. 19 + z + -2z = 16 + 2z + -2z Combine like terms: z + -2z = -1z 19 + -1z = 16 + 2z + -2z Combine like terms: 2z + -2z = 0 19 + -1z = 16 + 0 19 + -1z = 16 Add '-19' to each side of the equation. 19 + -19 + -1z = 16 + -19 Combine like terms: 19 + -19 = 0 0 + -1z = 16 + -19 -1z = 16 + -19 Combine like terms: 16 + -19 = -3 -1z = -3 Divide each side by '-1'. z = 3 Simplifying z = 3
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