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Simplifying 5(z + 5) = 0.8(z + 3) Reorder the terms: 5(5 + z) = 0.8(z + 3) (5 * 5 + z * 5) = 0.8(z + 3) (25 + 5z) = 0.8(z + 3) Reorder the terms: 25 + 5z = 0.8(3 + z) 25 + 5z = (3 * 0.8 + z * 0.8) 25 + 5z = (2.4 + 0.8z) Solving 25 + 5z = 2.4 + 0.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.8z' to each side of the equation. 25 + 5z + -0.8z = 2.4 + 0.8z + -0.8z Combine like terms: 5z + -0.8z = 4.2z 25 + 4.2z = 2.4 + 0.8z + -0.8z Combine like terms: 0.8z + -0.8z = 0.0 25 + 4.2z = 2.4 + 0.0 25 + 4.2z = 2.4 Add '-25' to each side of the equation. 25 + -25 + 4.2z = 2.4 + -25 Combine like terms: 25 + -25 = 0 0 + 4.2z = 2.4 + -25 4.2z = 2.4 + -25 Combine like terms: 2.4 + -25 = -22.6 4.2z = -22.6 Divide each side by '4.2'. z = -5.380952381 Simplifying z = -5.380952381
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