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Simplifying 0.5z + -1.7 = 0.3z + -1 Reorder the terms: -1.7 + 0.5z = 0.3z + -1 Reorder the terms: -1.7 + 0.5z = -1 + 0.3z Solving -1.7 + 0.5z = -1 + 0.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.3z' to each side of the equation. -1.7 + 0.5z + -0.3z = -1 + 0.3z + -0.3z Combine like terms: 0.5z + -0.3z = 0.2z -1.7 + 0.2z = -1 + 0.3z + -0.3z Combine like terms: 0.3z + -0.3z = 0.0 -1.7 + 0.2z = -1 + 0.0 -1.7 + 0.2z = -1 Add '1.7' to each side of the equation. -1.7 + 1.7 + 0.2z = -1 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + 0.2z = -1 + 1.7 0.2z = -1 + 1.7 Combine like terms: -1 + 1.7 = 0.7 0.2z = 0.7 Divide each side by '0.2'. z = 3.5 Simplifying z = 3.5
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