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Simplifying 7(a + 4) = 3(3 + 3a) Reorder the terms: 7(4 + a) = 3(3 + 3a) (4 * 7 + a * 7) = 3(3 + 3a) (28 + 7a) = 3(3 + 3a) 28 + 7a = (3 * 3 + 3a * 3) 28 + 7a = (9 + 9a) Solving 28 + 7a = 9 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 28 + 7a + -9a = 9 + 9a + -9a Combine like terms: 7a + -9a = -2a 28 + -2a = 9 + 9a + -9a Combine like terms: 9a + -9a = 0 28 + -2a = 9 + 0 28 + -2a = 9 Add '-28' to each side of the equation. 28 + -28 + -2a = 9 + -28 Combine like terms: 28 + -28 = 0 0 + -2a = 9 + -28 -2a = 9 + -28 Combine like terms: 9 + -28 = -19 -2a = -19 Divide each side by '-2'. a = 9.5 Simplifying a = 9.5
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