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Simplifying 15z + -9 + -8z + -4 = 5z + -2 Reorder the terms: -9 + -4 + 15z + -8z = 5z + -2 Combine like terms: -9 + -4 = -13 -13 + 15z + -8z = 5z + -2 Combine like terms: 15z + -8z = 7z -13 + 7z = 5z + -2 Reorder the terms: -13 + 7z = -2 + 5z Solving -13 + 7z = -2 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -13 + 7z + -5z = -2 + 5z + -5z Combine like terms: 7z + -5z = 2z -13 + 2z = -2 + 5z + -5z Combine like terms: 5z + -5z = 0 -13 + 2z = -2 + 0 -13 + 2z = -2 Add '13' to each side of the equation. -13 + 13 + 2z = -2 + 13 Combine like terms: -13 + 13 = 0 0 + 2z = -2 + 13 2z = -2 + 13 Combine like terms: -2 + 13 = 11 2z = 11 Divide each side by '2'. z = 5.5 Simplifying z = 5.5
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