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Simplifying -1.2(4z + 7) + 3.1z = 0 Reorder the terms: -1.2(7 + 4z) + 3.1z = 0 (7 * -1.2 + 4z * -1.2) + 3.1z = 0 (-8.4 + -4.8z) + 3.1z = 0 Combine like terms: -4.8z + 3.1z = -1.7z -8.4 + -1.7z = 0 Solving -8.4 + -1.7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8.4' to each side of the equation. -8.4 + 8.4 + -1.7z = 0 + 8.4 Combine like terms: -8.4 + 8.4 = 0.0 0.0 + -1.7z = 0 + 8.4 -1.7z = 0 + 8.4 Combine like terms: 0 + 8.4 = 8.4 -1.7z = 8.4 Divide each side by '-1.7'. z = -4.941176471 Simplifying z = -4.941176471
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