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Simplifying 8z + 21 + 2z = 10z + -15 + 2z Reorder the terms: 21 + 8z + 2z = 10z + -15 + 2z Combine like terms: 8z + 2z = 10z 21 + 10z = 10z + -15 + 2z Reorder the terms: 21 + 10z = -15 + 10z + 2z Combine like terms: 10z + 2z = 12z 21 + 10z = -15 + 12z Solving 21 + 10z = -15 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 21 + 10z + -12z = -15 + 12z + -12z Combine like terms: 10z + -12z = -2z 21 + -2z = -15 + 12z + -12z Combine like terms: 12z + -12z = 0 21 + -2z = -15 + 0 21 + -2z = -15 Add '-21' to each side of the equation. 21 + -21 + -2z = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -2z = -15 + -21 -2z = -15 + -21 Combine like terms: -15 + -21 = -36 -2z = -36 Divide each side by '-2'. z = 18 Simplifying z = 18
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