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Simplifying 2(a + 7) + -1(a + 3) = 5a Reorder the terms: 2(7 + a) + -1(a + 3) = 5a (7 * 2 + a * 2) + -1(a + 3) = 5a (14 + 2a) + -1(a + 3) = 5a Reorder the terms: 14 + 2a + -1(3 + a) = 5a 14 + 2a + (3 * -1 + a * -1) = 5a 14 + 2a + (-3 + -1a) = 5a Reorder the terms: 14 + -3 + 2a + -1a = 5a Combine like terms: 14 + -3 = 11 11 + 2a + -1a = 5a Combine like terms: 2a + -1a = 1a 11 + 1a = 5a Solving 11 + 1a = 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 11 + 1a + -5a = 5a + -5a Combine like terms: 1a + -5a = -4a 11 + -4a = 5a + -5a Combine like terms: 5a + -5a = 0 11 + -4a = 0 Add '-11' to each side of the equation. 11 + -11 + -4a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4a = 0 + -11 -4a = 0 + -11 Combine like terms: 0 + -11 = -11 -4a = -11 Divide each side by '-4'. a = 2.75 Simplifying a = 2.75
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