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Simplifying 2z + 6 + 5z + 12 = 4z + -3 Reorder the terms: 6 + 12 + 2z + 5z = 4z + -3 Combine like terms: 6 + 12 = 18 18 + 2z + 5z = 4z + -3 Combine like terms: 2z + 5z = 7z 18 + 7z = 4z + -3 Reorder the terms: 18 + 7z = -3 + 4z Solving 18 + 7z = -3 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 18 + 7z + -4z = -3 + 4z + -4z Combine like terms: 7z + -4z = 3z 18 + 3z = -3 + 4z + -4z Combine like terms: 4z + -4z = 0 18 + 3z = -3 + 0 18 + 3z = -3 Add '-18' to each side of the equation. 18 + -18 + 3z = -3 + -18 Combine like terms: 18 + -18 = 0 0 + 3z = -3 + -18 3z = -3 + -18 Combine like terms: -3 + -18 = -21 3z = -21 Divide each side by '3'. z = -7 Simplifying z = -7
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