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Simplifying 5(a + 1) = 2.7a + -24 Reorder the terms: 5(1 + a) = 2.7a + -24 (1 * 5 + a * 5) = 2.7a + -24 (5 + 5a) = 2.7a + -24 Reorder the terms: 5 + 5a = -24 + 2.7a Solving 5 + 5a = -24 + 2.7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.7a' to each side of the equation. 5 + 5a + -2.7a = -24 + 2.7a + -2.7a Combine like terms: 5a + -2.7a = 2.3a 5 + 2.3a = -24 + 2.7a + -2.7a Combine like terms: 2.7a + -2.7a = 0.0 5 + 2.3a = -24 + 0.0 5 + 2.3a = -24 Add '-5' to each side of the equation. 5 + -5 + 2.3a = -24 + -5 Combine like terms: 5 + -5 = 0 0 + 2.3a = -24 + -5 2.3a = -24 + -5 Combine like terms: -24 + -5 = -29 2.3a = -29 Divide each side by '2.3'. a = -12.60869565 Simplifying a = -12.60869565
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