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Simplifying 7 + 3z + -3 = 8z + 7 + -4z Reorder the terms: 7 + -3 + 3z = 8z + 7 + -4z Combine like terms: 7 + -3 = 4 4 + 3z = 8z + 7 + -4z Reorder the terms: 4 + 3z = 7 + 8z + -4z Combine like terms: 8z + -4z = 4z 4 + 3z = 7 + 4z Solving 4 + 3z = 7 + 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 + 3z + -4z = 7 + 4z + -4z Combine like terms: 3z + -4z = -1z 4 + -1z = 7 + 4z + -4z Combine like terms: 4z + -4z = 0 4 + -1z = 7 + 0 4 + -1z = 7 Add '-4' to each side of the equation. 4 + -4 + -1z = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = 7 + -4 -1z = 7 + -4 Combine like terms: 7 + -4 = 3 -1z = 3 Divide each side by '-1'. z = -3 Simplifying z = -3
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