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Simplifying 6z + 18 + -15z + 10 = 4z + -9 Reorder the terms: 18 + 10 + 6z + -15z = 4z + -9 Combine like terms: 18 + 10 = 28 28 + 6z + -15z = 4z + -9 Combine like terms: 6z + -15z = -9z 28 + -9z = 4z + -9 Reorder the terms: 28 + -9z = -9 + 4z Solving 28 + -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. 28 + -9z + -4z = -9 + 4z + -4z Combine like terms: -9z + -4z = -13z 28 + -13z = -9 + 4z + -4z Combine like terms: 4z + -4z = 0 28 + -13z = -9 + 0 28 + -13z = -9 Add '-28' to each side of the equation. 28 + -28 + -13z = -9 + -28 Combine like terms: 28 + -28 = 0 0 + -13z = -9 + -28 -13z = -9 + -28 Combine like terms: -9 + -28 = -37 -13z = -37 Divide each side by '-13'. z = 2.846153846 Simplifying z = 2.846153846
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