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Simplifying 7(z + 2) + -3z = 46 Reorder the terms: 7(2 + z) + -3z = 46 (2 * 7 + z * 7) + -3z = 46 (14 + 7z) + -3z = 46 Combine like terms: 7z + -3z = 4z 14 + 4z = 46 Solving 14 + 4z = 46 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4z = 46 + -14 Combine like terms: 14 + -14 = 0 0 + 4z = 46 + -14 4z = 46 + -14 Combine like terms: 46 + -14 = 32 4z = 32 Divide each side by '4'. z = 8 Simplifying z = 8
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