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Simplifying 7.6(a + 5) * 1.7 = 100.5 Reorder the terms: 7.6(5 + a) * 1.7 = 100.5 Reorder the terms for easier multiplication: 7.6 * 1.7(5 + a) = 100.5 Multiply 7.6 * 1.7 12.92(5 + a) = 100.5 (5 * 12.92 + a * 12.92) = 100.5 (64.6 + 12.92a) = 100.5 Solving 64.6 + 12.92a = 100.5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-64.6' to each side of the equation. 64.6 + -64.6 + 12.92a = 100.5 + -64.6 Combine like terms: 64.6 + -64.6 = 0.0 0.0 + 12.92a = 100.5 + -64.6 12.92a = 100.5 + -64.6 Combine like terms: 100.5 + -64.6 = 35.9 12.92a = 35.9 Divide each side by '12.92'. a = 2.778637771 Simplifying a = 2.778637771
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