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Simplifying (-4z + 7) + (3z + -8z + 2) = 0 Reorder the terms: (7 + -4z) + (3z + -8z + 2) = 0 Remove parenthesis around (7 + -4z) 7 + -4z + (3z + -8z + 2) = 0 Reorder the terms: 7 + -4z + (2 + 3z + -8z) = 0 Combine like terms: 3z + -8z = -5z 7 + -4z + (2 + -5z) = 0 Remove parenthesis around (2 + -5z) 7 + -4z + 2 + -5z = 0 Reorder the terms: 7 + 2 + -4z + -5z = 0 Combine like terms: 7 + 2 = 9 9 + -4z + -5z = 0 Combine like terms: -4z + -5z = -9z 9 + -9z = 0 Solving 9 + -9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -9z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -9z = 0 + -9 -9z = 0 + -9 Combine like terms: 0 + -9 = -9 -9z = -9 Divide each side by '-9'. z = 1 Simplifying z = 1
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