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Simplifying 7(6 + 5a) + -8a = -38 + 7a (6 * 7 + 5a * 7) + -8a = -38 + 7a (42 + 35a) + -8a = -38 + 7a Combine like terms: 35a + -8a = 27a 42 + 27a = -38 + 7a Solving 42 + 27a = -38 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 42 + 27a + -7a = -38 + 7a + -7a Combine like terms: 27a + -7a = 20a 42 + 20a = -38 + 7a + -7a Combine like terms: 7a + -7a = 0 42 + 20a = -38 + 0 42 + 20a = -38 Add '-42' to each side of the equation. 42 + -42 + 20a = -38 + -42 Combine like terms: 42 + -42 = 0 0 + 20a = -38 + -42 20a = -38 + -42 Combine like terms: -38 + -42 = -80 20a = -80 Divide each side by '20'. a = -4 Simplifying a = -4
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