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Simplifying -2.3(-5z + -7) + -4.8z = 0 Reorder the terms: -2.3(-7 + -5z) + -4.8z = 0 (-7 * -2.3 + -5z * -2.3) + -4.8z = 0 (16.1 + 11.5z) + -4.8z = 0 Combine like terms: 11.5z + -4.8z = 6.7z 16.1 + 6.7z = 0 Solving 16.1 + 6.7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16.1' to each side of the equation. 16.1 + -16.1 + 6.7z = 0 + -16.1 Combine like terms: 16.1 + -16.1 = 0.0 0.0 + 6.7z = 0 + -16.1 6.7z = 0 + -16.1 Combine like terms: 0 + -16.1 = -16.1 6.7z = -16.1 Divide each side by '6.7'. z = -2.402985075 Simplifying z = -2.402985075
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