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Simplifying 7(a + 3) = 2(5a + 3) Reorder the terms: 7(3 + a) = 2(5a + 3) (3 * 7 + a * 7) = 2(5a + 3) (21 + 7a) = 2(5a + 3) Reorder the terms: 21 + 7a = 2(3 + 5a) 21 + 7a = (3 * 2 + 5a * 2) 21 + 7a = (6 + 10a) Solving 21 + 7a = 6 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 21 + 7a + -10a = 6 + 10a + -10a Combine like terms: 7a + -10a = -3a 21 + -3a = 6 + 10a + -10a Combine like terms: 10a + -10a = 0 21 + -3a = 6 + 0 21 + -3a = 6 Add '-21' to each side of the equation. 21 + -21 + -3a = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -3a = 6 + -21 -3a = 6 + -21 Combine like terms: 6 + -21 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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