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Simplifying 3(1 + -7a) + -5a = 5a + -28 (1 * 3 + -7a * 3) + -5a = 5a + -28 (3 + -21a) + -5a = 5a + -28 Combine like terms: -21a + -5a = -26a 3 + -26a = 5a + -28 Reorder the terms: 3 + -26a = -28 + 5a Solving 3 + -26a = -28 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 3 + -26a + -5a = -28 + 5a + -5a Combine like terms: -26a + -5a = -31a 3 + -31a = -28 + 5a + -5a Combine like terms: 5a + -5a = 0 3 + -31a = -28 + 0 3 + -31a = -28 Add '-3' to each side of the equation. 3 + -3 + -31a = -28 + -3 Combine like terms: 3 + -3 = 0 0 + -31a = -28 + -3 -31a = -28 + -3 Combine like terms: -28 + -3 = -31 -31a = -31 Divide each side by '-31'. a = 1 Simplifying a = 1
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