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Simplifying z + -9 = 2z + 1 + 4z Reorder the terms: -9 + z = 2z + 1 + 4z Reorder the terms: -9 + z = 1 + 2z + 4z Combine like terms: 2z + 4z = 6z -9 + z = 1 + 6z Solving -9 + z = 1 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -9 + z + -6z = 1 + 6z + -6z Combine like terms: z + -6z = -5z -9 + -5z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 -9 + -5z = 1 + 0 -9 + -5z = 1 Add '9' to each side of the equation. -9 + 9 + -5z = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -5z = 1 + 9 -5z = 1 + 9 Combine like terms: 1 + 9 = 10 -5z = 10 Divide each side by '-5'. z = -2 Simplifying z = -2
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