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Simplifying 0.5(20z + -16) = 8(z + 1) Reorder the terms: 0.5(-16 + 20z) = 8(z + 1) (-16 * 0.5 + 20z * 0.5) = 8(z + 1) (-8 + 10z) = 8(z + 1) Reorder the terms: -8 + 10z = 8(1 + z) -8 + 10z = (1 * 8 + z * 8) -8 + 10z = (8 + 8z) Solving -8 + 10z = 8 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -8 + 10z + -8z = 8 + 8z + -8z Combine like terms: 10z + -8z = 2z -8 + 2z = 8 + 8z + -8z Combine like terms: 8z + -8z = 0 -8 + 2z = 8 + 0 -8 + 2z = 8 Add '8' to each side of the equation. -8 + 8 + 2z = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 2z = 8 + 8 2z = 8 + 8 Combine like terms: 8 + 8 = 16 2z = 16 Divide each side by '2'. z = 8 Simplifying z = 8
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