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Simplifying 4 + 4z + -2 = 8z + 7 + -3z Reorder the terms: 4 + -2 + 4z = 8z + 7 + -3z Combine like terms: 4 + -2 = 2 2 + 4z = 8z + 7 + -3z Reorder the terms: 2 + 4z = 7 + 8z + -3z Combine like terms: 8z + -3z = 5z 2 + 4z = 7 + 5z Solving 2 + 4z = 7 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 2 + 4z + -5z = 7 + 5z + -5z Combine like terms: 4z + -5z = -1z 2 + -1z = 7 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + -1z = 7 + 0 2 + -1z = 7 Add '-2' to each side of the equation. 2 + -2 + -1z = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = 7 + -2 -1z = 7 + -2 Combine like terms: 7 + -2 = 5 -1z = 5 Divide each side by '-1'. z = -5 Simplifying z = -5
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