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Simplifying 21 = 5(6z + -9) + 10 + -2z Reorder the terms: 21 = 5(-9 + 6z) + 10 + -2z 21 = (-9 * 5 + 6z * 5) + 10 + -2z 21 = (-45 + 30z) + 10 + -2z Reorder the terms: 21 = -45 + 10 + 30z + -2z Combine like terms: -45 + 10 = -35 21 = -35 + 30z + -2z Combine like terms: 30z + -2z = 28z 21 = -35 + 28z Solving 21 = -35 + 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. 21 + -28z = -35 + 28z + -28z Combine like terms: 28z + -28z = 0 21 + -28z = -35 + 0 21 + -28z = -35 Add '-21' to each side of the equation. 21 + -21 + -28z = -35 + -21 Combine like terms: 21 + -21 = 0 0 + -28z = -35 + -21 -28z = -35 + -21 Combine like terms: -35 + -21 = -56 -28z = -56 Divide each side by '-28'. z = 2 Simplifying z = 2
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