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Simplifying -0.3(z + -4) + z = 0.5(3 + -1z) Reorder the terms: -0.3(-4 + z) + z = 0.5(3 + -1z) (-4 * -0.3 + z * -0.3) + z = 0.5(3 + -1z) (1.2 + -0.3z) + z = 0.5(3 + -1z) Combine like terms: -0.3z + z = 0.7z 1.2 + 0.7z = 0.5(3 + -1z) 1.2 + 0.7z = (3 * 0.5 + -1z * 0.5) 1.2 + 0.7z = (1.5 + -0.5z) Solving 1.2 + 0.7z = 1.5 + -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. 1.2 + 0.7z + 0.5z = 1.5 + -0.5z + 0.5z Combine like terms: 0.7z + 0.5z = 1.2z 1.2 + 1.2z = 1.5 + -0.5z + 0.5z Combine like terms: -0.5z + 0.5z = 0.0 1.2 + 1.2z = 1.5 + 0.0 1.2 + 1.2z = 1.5 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 1.2z = 1.5 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 1.2z = 1.5 + -1.2 1.2z = 1.5 + -1.2 Combine like terms: 1.5 + -1.2 = 0.3 1.2z = 0.3 Divide each side by '1.2'. z = 0.25 Simplifying z = 0.25
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