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Simplifying -7a + 5(6 + -4a) = -8a + -27 -7a + (6 * 5 + -4a * 5) = -8a + -27 -7a + (30 + -20a) = -8a + -27 Reorder the terms: 30 + -7a + -20a = -8a + -27 Combine like terms: -7a + -20a = -27a 30 + -27a = -8a + -27 Reorder the terms: 30 + -27a = -27 + -8a Solving 30 + -27a = -27 + -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. 30 + -27a + 8a = -27 + -8a + 8a Combine like terms: -27a + 8a = -19a 30 + -19a = -27 + -8a + 8a Combine like terms: -8a + 8a = 0 30 + -19a = -27 + 0 30 + -19a = -27 Add '-30' to each side of the equation. 30 + -30 + -19a = -27 + -30 Combine like terms: 30 + -30 = 0 0 + -19a = -27 + -30 -19a = -27 + -30 Combine like terms: -27 + -30 = -57 -19a = -57 Divide each side by '-19'. a = 3 Simplifying a = 3
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