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Simplifying 1.5z + -0.5z + 7.7 = 7.9 + -4.7 Reorder the terms: 7.7 + 1.5z + -0.5z = 7.9 + -4.7 Combine like terms: 1.5z + -0.5z = 1z 7.7 + 1z = 7.9 + -4.7 Combine like terms: 7.9 + -4.7 = 3.2 7.7 + 1z = 3.2 Solving 7.7 + 1z = 3.2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7.7' to each side of the equation. 7.7 + -7.7 + 1z = 3.2 + -7.7 Combine like terms: 7.7 + -7.7 = 0.0 0.0 + 1z = 3.2 + -7.7 1z = 3.2 + -7.7 Combine like terms: 3.2 + -7.7 = -4.5 1z = -4.5 Divide each side by '1'. z = -4.5 Simplifying z = -4.5
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