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Simplifying 3z + 16z + z + 15 + 7 = 2 + -13z + 15 + -4 Reorder the terms: 15 + 7 + 3z + 16z + z = 2 + -13z + 15 + -4 Combine like terms: 15 + 7 = 22 22 + 3z + 16z + z = 2 + -13z + 15 + -4 Combine like terms: 3z + 16z = 19z 22 + 19z + z = 2 + -13z + 15 + -4 Combine like terms: 19z + z = 20z 22 + 20z = 2 + -13z + 15 + -4 Reorder the terms: 22 + 20z = 2 + 15 + -4 + -13z Combine like terms: 2 + 15 = 17 22 + 20z = 17 + -4 + -13z Combine like terms: 17 + -4 = 13 22 + 20z = 13 + -13z Solving 22 + 20z = 13 + -13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13z' to each side of the equation. 22 + 20z + 13z = 13 + -13z + 13z Combine like terms: 20z + 13z = 33z 22 + 33z = 13 + -13z + 13z Combine like terms: -13z + 13z = 0 22 + 33z = 13 + 0 22 + 33z = 13 Add '-22' to each side of the equation. 22 + -22 + 33z = 13 + -22 Combine like terms: 22 + -22 = 0 0 + 33z = 13 + -22 33z = 13 + -22 Combine like terms: 13 + -22 = -9 33z = -9 Divide each side by '33'. z = -0.2727272727 Simplifying z = -0.2727272727
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