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Simplifying 4z + 9 + 3 = z + 10 + 12 + -10 Reorder the terms: 9 + 3 + 4z = z + 10 + 12 + -10 Combine like terms: 9 + 3 = 12 12 + 4z = z + 10 + 12 + -10 Reorder the terms: 12 + 4z = 10 + 12 + -10 + z Combine like terms: 10 + 12 = 22 12 + 4z = 22 + -10 + z Combine like terms: 22 + -10 = 12 12 + 4z = 12 + z Add '-12' to each side of the equation. 12 + -12 + 4z = 12 + -12 + z Combine like terms: 12 + -12 = 0 0 + 4z = 12 + -12 + z 4z = 12 + -12 + z Combine like terms: 12 + -12 = 0 4z = 0 + z 4z = z Solving 4z = z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 4z + -1z = z + -1z Combine like terms: 4z + -1z = 3z 3z = z + -1z Combine like terms: z + -1z = 0 3z = 0 Divide each side by '3'. z = 0 Simplifying z = 0
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