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Simplifying 3 + 1.5 + 4 = 3.5z + -4 Combine like terms: 3 + 1.5 = 4.5 4.5 + 4 = 3.5z + -4 Combine like terms: 4.5 + 4 = 8.5 8.5 = 3.5z + -4 Reorder the terms: 8.5 = -4 + 3.5z Solving 8.5 = -4 + 3.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.5z' to each side of the equation. 8.5 + -3.5z = -4 + 3.5z + -3.5z Combine like terms: 3.5z + -3.5z = 0.0 8.5 + -3.5z = -4 + 0.0 8.5 + -3.5z = -4 Add '-8.5' to each side of the equation. 8.5 + -8.5 + -3.5z = -4 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + -3.5z = -4 + -8.5 -3.5z = -4 + -8.5 Combine like terms: -4 + -8.5 = -12.5 -3.5z = -12.5 Divide each side by '-3.5'. z = 3.571428571 Simplifying z = 3.571428571
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