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Simplifying 7(3 + 7a) + -8 = -28 + 8a (3 * 7 + 7a * 7) + -8 = -28 + 8a (21 + 49a) + -8 = -28 + 8a Reorder the terms: 21 + -8 + 49a = -28 + 8a Combine like terms: 21 + -8 = 13 13 + 49a = -28 + 8a Solving 13 + 49a = -28 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 13 + 49a + -8a = -28 + 8a + -8a Combine like terms: 49a + -8a = 41a 13 + 41a = -28 + 8a + -8a Combine like terms: 8a + -8a = 0 13 + 41a = -28 + 0 13 + 41a = -28 Add '-13' to each side of the equation. 13 + -13 + 41a = -28 + -13 Combine like terms: 13 + -13 = 0 0 + 41a = -28 + -13 41a = -28 + -13 Combine like terms: -28 + -13 = -41 41a = -41 Divide each side by '41'. a = -1 Simplifying a = -1
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