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Simplifying 11(0.1z + 2.9) = 4z Reorder the terms: 11(2.9 + 0.1z) = 4z (2.9 * 11 + 0.1z * 11) = 4z (31.9 + 1.1z) = 4z Solving 31.9 + 1.1z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 31.9 + 1.1z + -4z = 4z + -4z Combine like terms: 1.1z + -4z = -2.9z 31.9 + -2.9z = 4z + -4z Combine like terms: 4z + -4z = 0 31.9 + -2.9z = 0 Add '-31.9' to each side of the equation. 31.9 + -31.9 + -2.9z = 0 + -31.9 Combine like terms: 31.9 + -31.9 = 0.0 0.0 + -2.9z = 0 + -31.9 -2.9z = 0 + -31.9 Combine like terms: 0 + -31.9 = -31.9 -2.9z = -31.9 Divide each side by '-2.9'. z = 11 Simplifying z = 11
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