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Simplifying 4(2a + 7) = 3(a + -5) + 2 Reorder the terms: 4(7 + 2a) = 3(a + -5) + 2 (7 * 4 + 2a * 4) = 3(a + -5) + 2 (28 + 8a) = 3(a + -5) + 2 Reorder the terms: 28 + 8a = 3(-5 + a) + 2 28 + 8a = (-5 * 3 + a * 3) + 2 28 + 8a = (-15 + 3a) + 2 Reorder the terms: 28 + 8a = -15 + 2 + 3a Combine like terms: -15 + 2 = -13 28 + 8a = -13 + 3a Solving 28 + 8a = -13 + 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 + 8a + -3a = -13 + 3a + -3a Combine like terms: 8a + -3a = 5a 28 + 5a = -13 + 3a + -3a Combine like terms: 3a + -3a = 0 28 + 5a = -13 + 0 28 + 5a = -13 Add '-28' to each side of the equation. 28 + -28 + 5a = -13 + -28 Combine like terms: 28 + -28 = 0 0 + 5a = -13 + -28 5a = -13 + -28 Combine like terms: -13 + -28 = -41 5a = -41 Divide each side by '5'. a = -8.2 Simplifying a = -8.2
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