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Simplifying 7(a + 5) + -11 = 3(a + 2) Reorder the terms: 7(5 + a) + -11 = 3(a + 2) (5 * 7 + a * 7) + -11 = 3(a + 2) (35 + 7a) + -11 = 3(a + 2) Reorder the terms: 35 + -11 + 7a = 3(a + 2) Combine like terms: 35 + -11 = 24 24 + 7a = 3(a + 2) Reorder the terms: 24 + 7a = 3(2 + a) 24 + 7a = (2 * 3 + a * 3) 24 + 7a = (6 + 3a) Solving 24 + 7a = 6 + 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. 24 + 7a + -3a = 6 + 3a + -3a Combine like terms: 7a + -3a = 4a 24 + 4a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 24 + 4a = 6 + 0 24 + 4a = 6 Add '-24' to each side of the equation. 24 + -24 + 4a = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 4a = 6 + -24 4a = 6 + -24 Combine like terms: 6 + -24 = -18 4a = -18 Divide each side by '4'. a = -4.5 Simplifying a = -4.5
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