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Simplifying 5.5z + -3 + 12z + -2 = 17z + -2 Reorder the terms: -3 + -2 + 5.5z + 12z = 17z + -2 Combine like terms: -3 + -2 = -5 -5 + 5.5z + 12z = 17z + -2 Combine like terms: 5.5z + 12z = 17.5z -5 + 17.5z = 17z + -2 Reorder the terms: -5 + 17.5z = -2 + 17z Solving -5 + 17.5z = -2 + 17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17z' to each side of the equation. -5 + 17.5z + -17z = -2 + 17z + -17z Combine like terms: 17.5z + -17z = 0.5z -5 + 0.5z = -2 + 17z + -17z Combine like terms: 17z + -17z = 0 -5 + 0.5z = -2 + 0 -5 + 0.5z = -2 Add '5' to each side of the equation. -5 + 5 + 0.5z = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 0.5z = -2 + 5 0.5z = -2 + 5 Combine like terms: -2 + 5 = 3 0.5z = 3 Divide each side by '0.5'. z = 6 Simplifying z = 6
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