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Simplifying -5z + -12 + z = 3 + 4z + -3 + 2z Reorder the terms: -12 + -5z + z = 3 + 4z + -3 + 2z Combine like terms: -5z + z = -4z -12 + -4z = 3 + 4z + -3 + 2z Reorder the terms: -12 + -4z = 3 + -3 + 4z + 2z Combine like terms: 3 + -3 = 0 -12 + -4z = 0 + 4z + 2z -12 + -4z = 4z + 2z Combine like terms: 4z + 2z = 6z -12 + -4z = 6z Solving -12 + -4z = 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. -12 + -4z + -6z = 6z + -6z Combine like terms: -4z + -6z = -10z -12 + -10z = 6z + -6z Combine like terms: 6z + -6z = 0 -12 + -10z = 0 Add '12' to each side of the equation. -12 + 12 + -10z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -10z = 0 + 12 -10z = 0 + 12 Combine like terms: 0 + 12 = 12 -10z = 12 Divide each side by '-10'. z = -1.2 Simplifying z = -1.2
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