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Simplifying 18z + -2 = 99 + -21 + 28z Reorder the terms: -2 + 18z = 99 + -21 + 28z Combine like terms: 99 + -21 = 78 -2 + 18z = 78 + 28z Solving -2 + 18z = 78 + 28z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28z' to each side of the equation. -2 + 18z + -28z = 78 + 28z + -28z Combine like terms: 18z + -28z = -10z -2 + -10z = 78 + 28z + -28z Combine like terms: 28z + -28z = 0 -2 + -10z = 78 + 0 -2 + -10z = 78 Add '2' to each side of the equation. -2 + 2 + -10z = 78 + 2 Combine like terms: -2 + 2 = 0 0 + -10z = 78 + 2 -10z = 78 + 2 Combine like terms: 78 + 2 = 80 -10z = 80 Divide each side by '-10'. z = -8 Simplifying z = -8
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