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Simplifying 0.5(10z + 2) + -1(2 + 9) = 0 Reorder the terms: 0.5(2 + 10z) + -1(2 + 9) = 0 (2 * 0.5 + 10z * 0.5) + -1(2 + 9) = 0 (1 + 5z) + -1(2 + 9) = 0 Combine like terms: 2 + 9 = 11 1 + 5z + -1(11) = 0 Multiply -1 * 11 1 + 5z + -11 = 0 Reorder the terms: 1 + -11 + 5z = 0 Combine like terms: 1 + -11 = -10 -10 + 5z = 0 Solving -10 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 5z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 5z = 0 + 10 5z = 0 + 10 Combine like terms: 0 + 10 = 10 5z = 10 Divide each side by '5'. z = 2 Simplifying z = 2
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