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Simplifying (2a + 3) + -1(4a + -8) = 7 Reorder the terms: (3 + 2a) + -1(4a + -8) = 7 Remove parenthesis around (3 + 2a) 3 + 2a + -1(4a + -8) = 7 Reorder the terms: 3 + 2a + -1(-8 + 4a) = 7 3 + 2a + (-8 * -1 + 4a * -1) = 7 3 + 2a + (8 + -4a) = 7 Reorder the terms: 3 + 8 + 2a + -4a = 7 Combine like terms: 3 + 8 = 11 11 + 2a + -4a = 7 Combine like terms: 2a + -4a = -2a 11 + -2a = 7 Solving 11 + -2a = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2a = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -2a = 7 + -11 -2a = 7 + -11 Combine like terms: 7 + -11 = -4 -2a = -4 Divide each side by '-2'. a = 2 Simplifying a = 2
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