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Simplifying 4z + -12 + -5 + -3z = 6z + -12 Reorder the terms: -12 + -5 + 4z + -3z = 6z + -12 Combine like terms: -12 + -5 = -17 -17 + 4z + -3z = 6z + -12 Combine like terms: 4z + -3z = 1z -17 + 1z = 6z + -12 Reorder the terms: -17 + 1z = -12 + 6z Solving -17 + 1z = -12 + 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. -17 + 1z + -6z = -12 + 6z + -6z Combine like terms: 1z + -6z = -5z -17 + -5z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 -17 + -5z = -12 + 0 -17 + -5z = -12 Add '17' to each side of the equation. -17 + 17 + -5z = -12 + 17 Combine like terms: -17 + 17 = 0 0 + -5z = -12 + 17 -5z = -12 + 17 Combine like terms: -12 + 17 = 5 -5z = 5 Divide each side by '-5'. z = -1 Simplifying z = -1
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