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Simplifying 0.9z + -5.5 = 1.4z + -2 Reorder the terms: -5.5 + 0.9z = 1.4z + -2 Reorder the terms: -5.5 + 0.9z = -2 + 1.4z Solving -5.5 + 0.9z = -2 + 1.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.4z' to each side of the equation. -5.5 + 0.9z + -1.4z = -2 + 1.4z + -1.4z Combine like terms: 0.9z + -1.4z = -0.5z -5.5 + -0.5z = -2 + 1.4z + -1.4z Combine like terms: 1.4z + -1.4z = 0.0 -5.5 + -0.5z = -2 + 0.0 -5.5 + -0.5z = -2 Add '5.5' to each side of the equation. -5.5 + 5.5 + -0.5z = -2 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + -0.5z = -2 + 5.5 -0.5z = -2 + 5.5 Combine like terms: -2 + 5.5 = 3.5 -0.5z = 3.5 Divide each side by '-0.5'. z = -7 Simplifying z = -7
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