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Simplifying 30 = z + z + z + 3 + 2 + 4 + z + 3 Reorder the terms: 30 = 3 + 2 + 4 + 3 + z + z + z + z Combine like terms: 3 + 2 = 5 30 = 5 + 4 + 3 + z + z + z + z Combine like terms: 5 + 4 = 9 30 = 9 + 3 + z + z + z + z Combine like terms: 9 + 3 = 12 30 = 12 + z + z + z + z Combine like terms: z + z = 2z 30 = 12 + 2z + z + z Combine like terms: 2z + z = 3z 30 = 12 + 3z + z Combine like terms: 3z + z = 4z 30 = 12 + 4z Solving 30 = 12 + 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. 30 + -4z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 30 + -4z = 12 + 0 30 + -4z = 12 Add '-30' to each side of the equation. 30 + -30 + -4z = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -4z = 12 + -30 -4z = 12 + -30 Combine like terms: 12 + -30 = -18 -4z = -18 Divide each side by '-4'. z = 4.5 Simplifying z = 4.5
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