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Simplifying 12z + -28z + 5z = -6z + 7 + -22 Combine like terms: 12z + -28z = -16z -16z + 5z = -6z + 7 + -22 Combine like terms: -16z + 5z = -11z -11z = -6z + 7 + -22 Reorder the terms: -11z = 7 + -22 + -6z Combine like terms: 7 + -22 = -15 -11z = -15 + -6z Solving -11z = -15 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -11z + 6z = -15 + -6z + 6z Combine like terms: -11z + 6z = -5z -5z = -15 + -6z + 6z Combine like terms: -6z + 6z = 0 -5z = -15 + 0 -5z = -15 Divide each side by '-5'. z = 3 Simplifying z = 3
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