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Simplifying 4(a + 10) + 3(a + 3) = 56 Reorder the terms: 4(10 + a) + 3(a + 3) = 56 (10 * 4 + a * 4) + 3(a + 3) = 56 (40 + 4a) + 3(a + 3) = 56 Reorder the terms: 40 + 4a + 3(3 + a) = 56 40 + 4a + (3 * 3 + a * 3) = 56 40 + 4a + (9 + 3a) = 56 Reorder the terms: 40 + 9 + 4a + 3a = 56 Combine like terms: 40 + 9 = 49 49 + 4a + 3a = 56 Combine like terms: 4a + 3a = 7a 49 + 7a = 56 Solving 49 + 7a = 56 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 7a = 56 + -49 Combine like terms: 49 + -49 = 0 0 + 7a = 56 + -49 7a = 56 + -49 Combine like terms: 56 + -49 = 7 7a = 7 Divide each side by '7'. a = 1 Simplifying a = 1
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