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Simplifying 2z + -12 + 10z = 8z + -16 Reorder the terms: -12 + 2z + 10z = 8z + -16 Combine like terms: 2z + 10z = 12z -12 + 12z = 8z + -16 Reorder the terms: -12 + 12z = -16 + 8z Solving -12 + 12z = -16 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -12 + 12z + -8z = -16 + 8z + -8z Combine like terms: 12z + -8z = 4z -12 + 4z = -16 + 8z + -8z Combine like terms: 8z + -8z = 0 -12 + 4z = -16 + 0 -12 + 4z = -16 Add '12' to each side of the equation. -12 + 12 + 4z = -16 + 12 Combine like terms: -12 + 12 = 0 0 + 4z = -16 + 12 4z = -16 + 12 Combine like terms: -16 + 12 = -4 4z = -4 Divide each side by '4'. z = -1 Simplifying z = -1
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