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Simplifying 7z + 28 + 6z = -27 + 15z + 9 Reorder the terms: 28 + 7z + 6z = -27 + 15z + 9 Combine like terms: 7z + 6z = 13z 28 + 13z = -27 + 15z + 9 Reorder the terms: 28 + 13z = -27 + 9 + 15z Combine like terms: -27 + 9 = -18 28 + 13z = -18 + 15z Solving 28 + 13z = -18 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. 28 + 13z + -15z = -18 + 15z + -15z Combine like terms: 13z + -15z = -2z 28 + -2z = -18 + 15z + -15z Combine like terms: 15z + -15z = 0 28 + -2z = -18 + 0 28 + -2z = -18 Add '-28' to each side of the equation. 28 + -28 + -2z = -18 + -28 Combine like terms: 28 + -28 = 0 0 + -2z = -18 + -28 -2z = -18 + -28 Combine like terms: -18 + -28 = -46 -2z = -46 Divide each side by '-2'. z = 23 Simplifying z = 23
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