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Simplifying 2(z + 1) = 3z + -2 Reorder the terms: 2(1 + z) = 3z + -2 (1 * 2 + z * 2) = 3z + -2 (2 + 2z) = 3z + -2 Reorder the terms: 2 + 2z = -2 + 3z Solving 2 + 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. 2 + 2z + -3z = -2 + 3z + -3z Combine like terms: 2z + -3z = -1z 2 + -1z = -2 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + -1z = -2 + 0 2 + -1z = -2 Add '-2' to each side of the equation. 2 + -2 + -1z = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = -2 + -2 -1z = -2 + -2 Combine like terms: -2 + -2 = -4 -1z = -4 Divide each side by '-1'. z = 4 Simplifying z = 4
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