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Simplifying 1.9 + -1.5z = 0.1 + -0.5z Solving 1.9 + -1.5z = 0.1 + -0.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.5z' to each side of the equation. 1.9 + -1.5z + 0.5z = 0.1 + -0.5z + 0.5z Combine like terms: -1.5z + 0.5z = -1z 1.9 + -1z = 0.1 + -0.5z + 0.5z Combine like terms: -0.5z + 0.5z = 0.0 1.9 + -1z = 0.1 + 0.0 1.9 + -1z = 0.1 Add '-1.9' to each side of the equation. 1.9 + -1.9 + -1z = 0.1 + -1.9 Combine like terms: 1.9 + -1.9 = 0.0 0.0 + -1z = 0.1 + -1.9 -1z = 0.1 + -1.9 Combine like terms: 0.1 + -1.9 = -1.8 -1z = -1.8 Divide each side by '-1'. z = 1.8 Simplifying z = 1.8
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