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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 = -5 -5 + 2a + -4a = 7 Combine like terms: 2a + -4a = -2a -5 + -2a = 7 Solving -5 + -2a = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2a = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -2a = 7 + 5 -2a = 7 + 5 Combine like terms: 7 + 5 = 12 -2a = 12 Divide each side by '-2'. a = -6 Simplifying a = -6
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