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Simplifying 4z + -9 = 3x + 21 + 5z Reorder the terms: -9 + 4z = 3x + 21 + 5z Reorder the terms: -9 + 4z = 21 + 3x + 5z Solving -9 + 4z = 21 + 3x + 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. -9 + 4z + -5z = 21 + 3x + 5z + -5z Combine like terms: 4z + -5z = -1z -9 + -1z = 21 + 3x + 5z + -5z Combine like terms: 5z + -5z = 0 -9 + -1z = 21 + 3x + 0 -9 + -1z = 21 + 3x Add '9' to each side of the equation. -9 + 9 + -1z = 21 + 9 + 3x Combine like terms: -9 + 9 = 0 0 + -1z = 21 + 9 + 3x -1z = 21 + 9 + 3x Combine like terms: 21 + 9 = 30 -1z = 30 + 3x Divide each side by '-1'. z = -30 + -3x Simplifying z = -30 + -3x
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