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Simplifying 4z + -9 + 5z + -4 = 1 + 2z Reorder the terms: -9 + -4 + 4z + 5z = 1 + 2z Combine like terms: -9 + -4 = -13 -13 + 4z + 5z = 1 + 2z Combine like terms: 4z + 5z = 9z -13 + 9z = 1 + 2z Solving -13 + 9z = 1 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -13 + 9z + -2z = 1 + 2z + -2z Combine like terms: 9z + -2z = 7z -13 + 7z = 1 + 2z + -2z Combine like terms: 2z + -2z = 0 -13 + 7z = 1 + 0 -13 + 7z = 1 Add '13' to each side of the equation. -13 + 13 + 7z = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 7z = 1 + 13 7z = 1 + 13 Combine like terms: 1 + 13 = 14 7z = 14 Divide each side by '7'. z = 2 Simplifying z = 2
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