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Simplifying 7.6(a + 5) + 1.7 + 100.5 = 0 Reorder the terms: 7.6(5 + a) + 1.7 + 100.5 = 0 (5 * 7.6 + a * 7.6) + 1.7 + 100.5 = 0 (38 + 7.6a) + 1.7 + 100.5 = 0 Reorder the terms: 38 + 1.7 + 100.5 + 7.6a = 0 Combine like terms: 38 + 1.7 = 39.7 39.7 + 100.5 + 7.6a = 0 Combine like terms: 39.7 + 100.5 = 140.2 140.2 + 7.6a = 0 Solving 140.2 + 7.6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-140.2' to each side of the equation. 140.2 + -140.2 + 7.6a = 0 + -140.2 Combine like terms: 140.2 + -140.2 = 0.0 0.0 + 7.6a = 0 + -140.2 7.6a = 0 + -140.2 Combine like terms: 0 + -140.2 = -140.2 7.6a = -140.2 Divide each side by '7.6'. a = -18.44736842 Simplifying a = -18.44736842
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