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Simplifying 10z + -12 = -1z + 21 Reorder the terms: -12 + 10z = -1z + 21 Reorder the terms: -12 + 10z = 21 + -1z Solving -12 + 10z = 21 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -12 + 10z + z = 21 + -1z + z Combine like terms: 10z + z = 11z -12 + 11z = 21 + -1z + z Combine like terms: -1z + z = 0 -12 + 11z = 21 + 0 -12 + 11z = 21 Add '12' to each side of the equation. -12 + 12 + 11z = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 11z = 21 + 12 11z = 21 + 12 Combine like terms: 21 + 12 = 33 11z = 33 Divide each side by '11'. z = 3 Simplifying z = 3
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