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Simplifying 7(4a + 8) = -15 + -3a Reorder the terms: 7(8 + 4a) = -15 + -3a (8 * 7 + 4a * 7) = -15 + -3a (56 + 28a) = -15 + -3a Solving 56 + 28a = -15 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 56 + 28a + 3a = -15 + -3a + 3a Combine like terms: 28a + 3a = 31a 56 + 31a = -15 + -3a + 3a Combine like terms: -3a + 3a = 0 56 + 31a = -15 + 0 56 + 31a = -15 Add '-56' to each side of the equation. 56 + -56 + 31a = -15 + -56 Combine like terms: 56 + -56 = 0 0 + 31a = -15 + -56 31a = -15 + -56 Combine like terms: -15 + -56 = -71 31a = -71 Divide each side by '31'. a = -2.290322581 Simplifying a = -2.290322581
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