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Simplifying 5z + 13z + 11 = -9 + 19z Reorder the terms: 11 + 5z + 13z = -9 + 19z Combine like terms: 5z + 13z = 18z 11 + 18z = -9 + 19z Solving 11 + 18z = -9 + 19z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-19z' to each side of the equation. 11 + 18z + -19z = -9 + 19z + -19z Combine like terms: 18z + -19z = -1z 11 + -1z = -9 + 19z + -19z Combine like terms: 19z + -19z = 0 11 + -1z = -9 + 0 11 + -1z = -9 Add '-11' to each side of the equation. 11 + -11 + -1z = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -1z = -9 + -11 -1z = -9 + -11 Combine like terms: -9 + -11 = -20 -1z = -20 Divide each side by '-1'. z = 20 Simplifying z = 20
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