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Simplifying 3(z + -2) + 8 = 23 Reorder the terms: 3(-2 + z) + 8 = 23 (-2 * 3 + z * 3) + 8 = 23 (-6 + 3z) + 8 = 23 Reorder the terms: -6 + 8 + 3z = 23 Combine like terms: -6 + 8 = 2 2 + 3z = 23 Solving 2 + 3z = 23 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3z = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 3z = 23 + -2 3z = 23 + -2 Combine like terms: 23 + -2 = 21 3z = 21 Divide each side by '3'. z = 7 Simplifying z = 7
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