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Simplifying 7(a + 4) = 8 + -3a Reorder the terms: 7(4 + a) = 8 + -3a (4 * 7 + a * 7) = 8 + -3a (28 + 7a) = 8 + -3a Solving 28 + 7a = 8 + -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. 28 + 7a + 3a = 8 + -3a + 3a Combine like terms: 7a + 3a = 10a 28 + 10a = 8 + -3a + 3a Combine like terms: -3a + 3a = 0 28 + 10a = 8 + 0 28 + 10a = 8 Add '-28' to each side of the equation. 28 + -28 + 10a = 8 + -28 Combine like terms: 28 + -28 = 0 0 + 10a = 8 + -28 10a = 8 + -28 Combine like terms: 8 + -28 = -20 10a = -20 Divide each side by '10'. a = -2 Simplifying a = -2
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