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Simplifying 5 + 3z + -4 = 8z + 7 + -4z Reorder the terms: 5 + -4 + 3z = 8z + 7 + -4z Combine like terms: 5 + -4 = 1 1 + 3z = 8z + 7 + -4z Reorder the terms: 1 + 3z = 7 + 8z + -4z Combine like terms: 8z + -4z = 4z 1 + 3z = 7 + 4z Solving 1 + 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. 1 + 3z + -4z = 7 + 4z + -4z Combine like terms: 3z + -4z = -1z 1 + -1z = 7 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + -1z = 7 + 0 1 + -1z = 7 Add '-1' to each side of the equation. 1 + -1 + -1z = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = 7 + -1 -1z = 7 + -1 Combine like terms: 7 + -1 = 6 -1z = 6 Divide each side by '-1'. z = -6 Simplifying z = -6
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