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Simplifying 9.6(a + 5) = 4.8a + 81.6 Reorder the terms: 9.6(5 + a) = 4.8a + 81.6 (5 * 9.6 + a * 9.6) = 4.8a + 81.6 (48 + 9.6a) = 4.8a + 81.6 Reorder the terms: 48 + 9.6a = 81.6 + 4.8a Solving 48 + 9.6a = 81.6 + 4.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4.8a' to each side of the equation. 48 + 9.6a + -4.8a = 81.6 + 4.8a + -4.8a Combine like terms: 9.6a + -4.8a = 4.8a 48 + 4.8a = 81.6 + 4.8a + -4.8a Combine like terms: 4.8a + -4.8a = 0.0 48 + 4.8a = 81.6 + 0.0 48 + 4.8a = 81.6 Add '-48' to each side of the equation. 48 + -48 + 4.8a = 81.6 + -48 Combine like terms: 48 + -48 = 0 0 + 4.8a = 81.6 + -48 4.8a = 81.6 + -48 Combine like terms: 81.6 + -48 = 33.6 4.8a = 33.6 Divide each side by '4.8'. a = 7 Simplifying a = 7
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