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Simplifying -4z + 12 + -1z = 15 + -2z + -9 Reorder the terms: 12 + -4z + -1z = 15 + -2z + -9 Combine like terms: -4z + -1z = -5z 12 + -5z = 15 + -2z + -9 Reorder the terms: 12 + -5z = 15 + -9 + -2z Combine like terms: 15 + -9 = 6 12 + -5z = 6 + -2z Solving 12 + -5z = 6 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 12 + -5z + 2z = 6 + -2z + 2z Combine like terms: -5z + 2z = -3z 12 + -3z = 6 + -2z + 2z Combine like terms: -2z + 2z = 0 12 + -3z = 6 + 0 12 + -3z = 6 Add '-12' to each side of the equation. 12 + -12 + -3z = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -3z = 6 + -12 -3z = 6 + -12 Combine like terms: 6 + -12 = -6 -3z = -6 Divide each side by '-3'. z = 2 Simplifying z = 2
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