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Simplifying 3z + -9 = 4z + 8 Reorder the terms: -9 + 3z = 4z + 8 Reorder the terms: -9 + 3z = 8 + 4z Solving -9 + 3z = 8 + 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. -9 + 3z + -4z = 8 + 4z + -4z Combine like terms: 3z + -4z = -1z -9 + -1z = 8 + 4z + -4z Combine like terms: 4z + -4z = 0 -9 + -1z = 8 + 0 -9 + -1z = 8 Add '9' to each side of the equation. -9 + 9 + -1z = 8 + 9 Combine like terms: -9 + 9 = 0 0 + -1z = 8 + 9 -1z = 8 + 9 Combine like terms: 8 + 9 = 17 -1z = 17 Divide each side by '-1'. z = -17 Simplifying z = -17
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