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Simplifying 3.5 + 0.8z = 3.7z + -1(3z + -4) Reorder the terms: 3.5 + 0.8z = 3.7z + -1(-4 + 3z) 3.5 + 0.8z = 3.7z + (-4 * -1 + 3z * -1) 3.5 + 0.8z = 3.7z + (4 + -3z) Reorder the terms: 3.5 + 0.8z = 4 + 3.7z + -3z Combine like terms: 3.7z + -3z = 0.7z 3.5 + 0.8z = 4 + 0.7z Solving 3.5 + 0.8z = 4 + 0.7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.7z' to each side of the equation. 3.5 + 0.8z + -0.7z = 4 + 0.7z + -0.7z Combine like terms: 0.8z + -0.7z = 0.1z 3.5 + 0.1z = 4 + 0.7z + -0.7z Combine like terms: 0.7z + -0.7z = 0.0 3.5 + 0.1z = 4 + 0.0 3.5 + 0.1z = 4 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 0.1z = 4 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.1z = 4 + -3.5 0.1z = 4 + -3.5 Combine like terms: 4 + -3.5 = 0.5 0.1z = 0.5 Divide each side by '0.1'. z = 5 Simplifying z = 5
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