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Simplifying 6z + 18 + -15z + 107 = 4z + -9 Reorder the terms: 18 + 107 + 6z + -15z = 4z + -9 Combine like terms: 18 + 107 = 125 125 + 6z + -15z = 4z + -9 Combine like terms: 6z + -15z = -9z 125 + -9z = 4z + -9 Reorder the terms: 125 + -9z = -9 + 4z Solving 125 + -9z = -9 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 125 + -9z + -4z = -9 + 4z + -4z Combine like terms: -9z + -4z = -13z 125 + -13z = -9 + 4z + -4z Combine like terms: 4z + -4z = 0 125 + -13z = -9 + 0 125 + -13z = -9 Add '-125' to each side of the equation. 125 + -125 + -13z = -9 + -125 Combine like terms: 125 + -125 = 0 0 + -13z = -9 + -125 -13z = -9 + -125 Combine like terms: -9 + -125 = -134 -13z = -134 Divide each side by '-13'. z = 10.30769231 Simplifying z = 10.30769231
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