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Simplifying 3(z + 2) = 2(z + -1) Reorder the terms: 3(2 + z) = 2(z + -1) (2 * 3 + z * 3) = 2(z + -1) (6 + 3z) = 2(z + -1) Reorder the terms: 6 + 3z = 2(-1 + z) 6 + 3z = (-1 * 2 + z * 2) 6 + 3z = (-2 + 2z) Solving 6 + 3z = -2 + 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. 6 + 3z + -2z = -2 + 2z + -2z Combine like terms: 3z + -2z = 1z 6 + 1z = -2 + 2z + -2z Combine like terms: 2z + -2z = 0 6 + 1z = -2 + 0 6 + 1z = -2 Add '-6' to each side of the equation. 6 + -6 + 1z = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = -2 + -6 1z = -2 + -6 Combine like terms: -2 + -6 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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