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Simplifying 7(-5a + 8) = -6 + -4a Reorder the terms: 7(8 + -5a) = -6 + -4a (8 * 7 + -5a * 7) = -6 + -4a (56 + -35a) = -6 + -4a Solving 56 + -35a = -6 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 56 + -35a + 4a = -6 + -4a + 4a Combine like terms: -35a + 4a = -31a 56 + -31a = -6 + -4a + 4a Combine like terms: -4a + 4a = 0 56 + -31a = -6 + 0 56 + -31a = -6 Add '-56' to each side of the equation. 56 + -56 + -31a = -6 + -56 Combine like terms: 56 + -56 = 0 0 + -31a = -6 + -56 -31a = -6 + -56 Combine like terms: -6 + -56 = -62 -31a = -62 Divide each side by '-31'. a = 2 Simplifying a = 2
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