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Simplifying 1.9z + -7.5 = 17 + 5.4z Reorder the terms: -7.5 + 1.9z = 17 + 5.4z Solving -7.5 + 1.9z = 17 + 5.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.4z' to each side of the equation. -7.5 + 1.9z + -5.4z = 17 + 5.4z + -5.4z Combine like terms: 1.9z + -5.4z = -3.5z -7.5 + -3.5z = 17 + 5.4z + -5.4z Combine like terms: 5.4z + -5.4z = 0.0 -7.5 + -3.5z = 17 + 0.0 -7.5 + -3.5z = 17 Add '7.5' to each side of the equation. -7.5 + 7.5 + -3.5z = 17 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -3.5z = 17 + 7.5 -3.5z = 17 + 7.5 Combine like terms: 17 + 7.5 = 24.5 -3.5z = 24.5 Divide each side by '-3.5'. z = -7 Simplifying z = -7
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