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Simplifying 9z + -27 + -10 = 4z + 4 + 3z + -21 Reorder the terms: -27 + -10 + 9z = 4z + 4 + 3z + -21 Combine like terms: -27 + -10 = -37 -37 + 9z = 4z + 4 + 3z + -21 Reorder the terms: -37 + 9z = 4 + -21 + 4z + 3z Combine like terms: 4 + -21 = -17 -37 + 9z = -17 + 4z + 3z Combine like terms: 4z + 3z = 7z -37 + 9z = -17 + 7z Solving -37 + 9z = -17 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -37 + 9z + -7z = -17 + 7z + -7z Combine like terms: 9z + -7z = 2z -37 + 2z = -17 + 7z + -7z Combine like terms: 7z + -7z = 0 -37 + 2z = -17 + 0 -37 + 2z = -17 Add '37' to each side of the equation. -37 + 37 + 2z = -17 + 37 Combine like terms: -37 + 37 = 0 0 + 2z = -17 + 37 2z = -17 + 37 Combine like terms: -17 + 37 = 20 2z = 20 Divide each side by '2'. z = 10 Simplifying z = 10
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