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Simplifying 3(a + 7) + -1(5 + a) = 7a + -3a Reorder the terms: 3(7 + a) + -1(5 + a) = 7a + -3a (7 * 3 + a * 3) + -1(5 + a) = 7a + -3a (21 + 3a) + -1(5 + a) = 7a + -3a 21 + 3a + (5 * -1 + a * -1) = 7a + -3a 21 + 3a + (-5 + -1a) = 7a + -3a Reorder the terms: 21 + -5 + 3a + -1a = 7a + -3a Combine like terms: 21 + -5 = 16 16 + 3a + -1a = 7a + -3a Combine like terms: 3a + -1a = 2a 16 + 2a = 7a + -3a Combine like terms: 7a + -3a = 4a 16 + 2a = 4a Solving 16 + 2a = 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 16 + 2a + -4a = 4a + -4a Combine like terms: 2a + -4a = -2a 16 + -2a = 4a + -4a Combine like terms: 4a + -4a = 0 16 + -2a = 0 Add '-16' to each side of the equation. 16 + -16 + -2a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2a = 0 + -16 -2a = 0 + -16 Combine like terms: 0 + -16 = -16 -2a = -16 Divide each side by '-2'. a = 8 Simplifying a = 8
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