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Simplifying 0.5(10z + 10) + -1(z + -4) = 0 Reorder the terms: 0.5(10 + 10z) + -1(z + -4) = 0 (10 * 0.5 + 10z * 0.5) + -1(z + -4) = 0 (5 + 5z) + -1(z + -4) = 0 Reorder the terms: 5 + 5z + -1(-4 + z) = 0 5 + 5z + (-4 * -1 + z * -1) = 0 5 + 5z + (4 + -1z) = 0 Reorder the terms: 5 + 4 + 5z + -1z = 0 Combine like terms: 5 + 4 = 9 9 + 5z + -1z = 0 Combine like terms: 5z + -1z = 4z 9 + 4z = 0 Solving 9 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4z = 0 + -9 4z = 0 + -9 Combine like terms: 0 + -9 = -9 4z = -9 Divide each side by '4'. z = -2.25 Simplifying z = -2.25
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