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