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