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Simplifying 150 = 4z + 5z + 3 + 4z + 5z + 3 Reorder the terms: 150 = 3 + 3 + 4z + 5z + 4z + 5z Combine like terms: 3 + 3 = 6 150 = 6 + 4z + 5z + 4z + 5z Combine like terms: 4z + 5z = 9z 150 = 6 + 9z + 4z + 5z Combine like terms: 9z + 4z = 13z 150 = 6 + 13z + 5z Combine like terms: 13z + 5z = 18z 150 = 6 + 18z Solving 150 = 6 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. 150 + -18z = 6 + 18z + -18z Combine like terms: 18z + -18z = 0 150 + -18z = 6 + 0 150 + -18z = 6 Add '-150' to each side of the equation. 150 + -150 + -18z = 6 + -150 Combine like terms: 150 + -150 = 0 0 + -18z = 6 + -150 -18z = 6 + -150 Combine like terms: 6 + -150 = -144 -18z = -144 Divide each side by '-18'. z = 8 Simplifying z = 8
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