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Simplifying -5 + -12 + z = 3 + 4z + -3 + 2z Combine like terms: -5 + -12 = -17 -17 + z = 3 + 4z + -3 + 2z Reorder the terms: -17 + z = 3 + -3 + 4z + 2z Combine like terms: 3 + -3 = 0 -17 + z = 0 + 4z + 2z -17 + z = 4z + 2z Combine like terms: 4z + 2z = 6z -17 + z = 6z Solving -17 + z = 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 + z + -6z = 6z + -6z Combine like terms: z + -6z = -5z -17 + -5z = 6z + -6z Combine like terms: 6z + -6z = 0 -17 + -5z = 0 Add '17' to each side of the equation. -17 + 17 + -5z = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -5z = 0 + 17 -5z = 0 + 17 Combine like terms: 0 + 17 = 17 -5z = 17 Divide each side by '-5'. z = -3.4 Simplifying z = -3.4
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