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Simplifying 0.5(z + 10) + 3.5z + -2 = 11 Reorder the terms: 0.5(10 + z) + 3.5z + -2 = 11 (10 * 0.5 + z * 0.5) + 3.5z + -2 = 11 (5 + 0.5z) + 3.5z + -2 = 11 Reorder the terms: 5 + -2 + 0.5z + 3.5z = 11 Combine like terms: 5 + -2 = 3 3 + 0.5z + 3.5z = 11 Combine like terms: 0.5z + 3.5z = 4z 3 + 4z = 11 Solving 3 + 4z = 11 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4z = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 4z = 11 + -3 4z = 11 + -3 Combine like terms: 11 + -3 = 8 4z = 8 Divide each side by '4'. z = 2 Simplifying z = 2
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