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Simplifying 7z + -5 = 2(3z + 12) Reorder the terms: -5 + 7z = 2(3z + 12) Reorder the terms: -5 + 7z = 2(12 + 3z) -5 + 7z = (12 * 2 + 3z * 2) -5 + 7z = (24 + 6z) Solving -5 + 7z = 24 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -5 + 7z + -6z = 24 + 6z + -6z Combine like terms: 7z + -6z = 1z -5 + 1z = 24 + 6z + -6z Combine like terms: 6z + -6z = 0 -5 + 1z = 24 + 0 -5 + 1z = 24 Add '5' to each side of the equation. -5 + 5 + 1z = 24 + 5 Combine like terms: -5 + 5 = 0 0 + 1z = 24 + 5 1z = 24 + 5 Combine like terms: 24 + 5 = 29 1z = 29 Divide each side by '1'. z = 29 Simplifying z = 29
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