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Simplifying 2(z + 2) = 3z + 2 Reorder the terms: 2(2 + z) = 3z + 2 (2 * 2 + z * 2) = 3z + 2 (4 + 2z) = 3z + 2 Reorder the terms: 4 + 2z = 2 + 3z Solving 4 + 2z = 2 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 4 + 2z + -3z = 2 + 3z + -3z Combine like terms: 2z + -3z = -1z 4 + -1z = 2 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + -1z = 2 + 0 4 + -1z = 2 Add '-4' to each side of the equation. 4 + -4 + -1z = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = 2 + -4 -1z = 2 + -4 Combine like terms: 2 + -4 = -2 -1z = -2 Divide each side by '-1'. z = 2 Simplifying z = 2
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