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Simplifying 3z + 19 = 2z + 10 Reorder the terms: 19 + 3z = 2z + 10 Reorder the terms: 19 + 3z = 10 + 2z Solving 19 + 3z = 10 + 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 + 3z + -2z = 10 + 2z + -2z Combine like terms: 3z + -2z = 1z 19 + 1z = 10 + 2z + -2z Combine like terms: 2z + -2z = 0 19 + 1z = 10 + 0 19 + 1z = 10 Add '-19' to each side of the equation. 19 + -19 + 1z = 10 + -19 Combine like terms: 19 + -19 = 0 0 + 1z = 10 + -19 1z = 10 + -19 Combine like terms: 10 + -19 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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