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Simplifying 5(1 + -7a) = -5 + -4a (1 * 5 + -7a * 5) = -5 + -4a (5 + -35a) = -5 + -4a Solving 5 + -35a = -5 + -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. 5 + -35a + 4a = -5 + -4a + 4a Combine like terms: -35a + 4a = -31a 5 + -31a = -5 + -4a + 4a Combine like terms: -4a + 4a = 0 5 + -31a = -5 + 0 5 + -31a = -5 Add '-5' to each side of the equation. 5 + -5 + -31a = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -31a = -5 + -5 -31a = -5 + -5 Combine like terms: -5 + -5 = -10 -31a = -10 Divide each side by '-31'. a = 0.3225806452 Simplifying a = 0.3225806452
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