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Simplifying 0.8(z + 3) = 0.07(z + 4) Reorder the terms: 0.8(3 + z) = 0.07(z + 4) (3 * 0.8 + z * 0.8) = 0.07(z + 4) (2.4 + 0.8z) = 0.07(z + 4) Reorder the terms: 2.4 + 0.8z = 0.07(4 + z) 2.4 + 0.8z = (4 * 0.07 + z * 0.07) 2.4 + 0.8z = (0.28 + 0.07z) Solving 2.4 + 0.8z = 0.28 + 0.07z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.07z' to each side of the equation. 2.4 + 0.8z + -0.07z = 0.28 + 0.07z + -0.07z Combine like terms: 0.8z + -0.07z = 0.73z 2.4 + 0.73z = 0.28 + 0.07z + -0.07z Combine like terms: 0.07z + -0.07z = 0.00 2.4 + 0.73z = 0.28 + 0.00 2.4 + 0.73z = 0.28 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 0.73z = 0.28 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.73z = 0.28 + -2.4 0.73z = 0.28 + -2.4 Combine like terms: 0.28 + -2.4 = -2.12 0.73z = -2.12 Divide each side by '0.73'. z = -2.904109589 Simplifying z = -2.904109589
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