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Simplifying 7(a + 5) = 3a + 43 Reorder the terms: 7(5 + a) = 3a + 43 (5 * 7 + a * 7) = 3a + 43 (35 + 7a) = 3a + 43 Reorder the terms: 35 + 7a = 43 + 3a Solving 35 + 7a = 43 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 35 + 7a + -3a = 43 + 3a + -3a Combine like terms: 7a + -3a = 4a 35 + 4a = 43 + 3a + -3a Combine like terms: 3a + -3a = 0 35 + 4a = 43 + 0 35 + 4a = 43 Add '-35' to each side of the equation. 35 + -35 + 4a = 43 + -35 Combine like terms: 35 + -35 = 0 0 + 4a = 43 + -35 4a = 43 + -35 Combine like terms: 43 + -35 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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