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Simplifying 2(7a + 4) + 6a = -40 + 8a Reorder the terms: 2(4 + 7a) + 6a = -40 + 8a (4 * 2 + 7a * 2) + 6a = -40 + 8a (8 + 14a) + 6a = -40 + 8a Combine like terms: 14a + 6a = 20a 8 + 20a = -40 + 8a Solving 8 + 20a = -40 + 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. 8 + 20a + -8a = -40 + 8a + -8a Combine like terms: 20a + -8a = 12a 8 + 12a = -40 + 8a + -8a Combine like terms: 8a + -8a = 0 8 + 12a = -40 + 0 8 + 12a = -40 Add '-8' to each side of the equation. 8 + -8 + 12a = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 12a = -40 + -8 12a = -40 + -8 Combine like terms: -40 + -8 = -48 12a = -48 Divide each side by '12'. a = -4 Simplifying a = -4
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