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Simplifying 3(z + 2) = 2(2 + -1) Reorder the terms: 3(2 + z) = 2(2 + -1) (2 * 3 + z * 3) = 2(2 + -1) (6 + 3z) = 2(2 + -1) Combine like terms: 2 + -1 = 1 6 + 3z = 2(1) Multiply 2 * 1 6 + 3z = 2 Solving 6 + 3z = 2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3z = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 3z = 2 + -6 3z = 2 + -6 Combine like terms: 2 + -6 = -4 3z = -4 Divide each side by '3'. z = -1.333333333 Simplifying z = -1.333333333
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