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Simplifying 5(a + 3) = 2 + 3(7a + 1) Reorder the terms: 5(3 + a) = 2 + 3(7a + 1) (3 * 5 + a * 5) = 2 + 3(7a + 1) (15 + 5a) = 2 + 3(7a + 1) Reorder the terms: 15 + 5a = 2 + 3(1 + 7a) 15 + 5a = 2 + (1 * 3 + 7a * 3) 15 + 5a = 2 + (3 + 21a) Combine like terms: 2 + 3 = 5 15 + 5a = 5 + 21a Solving 15 + 5a = 5 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. 15 + 5a + -21a = 5 + 21a + -21a Combine like terms: 5a + -21a = -16a 15 + -16a = 5 + 21a + -21a Combine like terms: 21a + -21a = 0 15 + -16a = 5 + 0 15 + -16a = 5 Add '-15' to each side of the equation. 15 + -15 + -16a = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -16a = 5 + -15 -16a = 5 + -15 Combine like terms: 5 + -15 = -10 -16a = -10 Divide each side by '-16'. a = 0.625 Simplifying a = 0.625
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