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Simplifying 0.8z + -0.2(2 + 17) = 0.6(z + 2) Combine like terms: 2 + 17 = 19 0.8z + -0.2(19) = 0.6(z + 2) Multiply -0.2 * 19 0.8z + -3.8 = 0.6(z + 2) Reorder the terms: -3.8 + 0.8z = 0.6(z + 2) Reorder the terms: -3.8 + 0.8z = 0.6(2 + z) -3.8 + 0.8z = (2 * 0.6 + z * 0.6) -3.8 + 0.8z = (1.2 + 0.6z) Solving -3.8 + 0.8z = 1.2 + 0.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.6z' to each side of the equation. -3.8 + 0.8z + -0.6z = 1.2 + 0.6z + -0.6z Combine like terms: 0.8z + -0.6z = 0.2z -3.8 + 0.2z = 1.2 + 0.6z + -0.6z Combine like terms: 0.6z + -0.6z = 0.0 -3.8 + 0.2z = 1.2 + 0.0 -3.8 + 0.2z = 1.2 Add '3.8' to each side of the equation. -3.8 + 3.8 + 0.2z = 1.2 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 0.2z = 1.2 + 3.8 0.2z = 1.2 + 3.8 Combine like terms: 1.2 + 3.8 = 5 0.2z = 5 Divide each side by '0.2'. z = 25 Simplifying z = 25
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