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Simplifying 2(3z + 2) + -7 = 33 Reorder the terms: 2(2 + 3z) + -7 = 33 (2 * 2 + 3z * 2) + -7 = 33 (4 + 6z) + -7 = 33 Reorder the terms: 4 + -7 + 6z = 33 Combine like terms: 4 + -7 = -3 -3 + 6z = 33 Solving -3 + 6z = 33 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 6z = 33 + 3 Combine like terms: -3 + 3 = 0 0 + 6z = 33 + 3 6z = 33 + 3 Combine like terms: 33 + 3 = 36 6z = 36 Divide each side by '6'. z = 6 Simplifying z = 6
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