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Simplifying 4z + 3z + 4 = 4z + -3 Reorder the terms: 4 + 4z + 3z = 4z + -3 Combine like terms: 4z + 3z = 7z 4 + 7z = 4z + -3 Reorder the terms: 4 + 7z = -3 + 4z Solving 4 + 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. 4 + 7z + -4z = -3 + 4z + -4z Combine like terms: 7z + -4z = 3z 4 + 3z = -3 + 4z + -4z Combine like terms: 4z + -4z = 0 4 + 3z = -3 + 0 4 + 3z = -3 Add '-4' to each side of the equation. 4 + -4 + 3z = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 3z = -3 + -4 3z = -3 + -4 Combine like terms: -3 + -4 = -7 3z = -7 Divide each side by '3'. z = -2.333333333 Simplifying z = -2.333333333
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