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Simplifying (3a + 4) + -1(5a + -2) = 7 Reorder the terms: (4 + 3a) + -1(5a + -2) = 7 Remove parenthesis around (4 + 3a) 4 + 3a + -1(5a + -2) = 7 Reorder the terms: 4 + 3a + -1(-2 + 5a) = 7 4 + 3a + (-2 * -1 + 5a * -1) = 7 4 + 3a + (2 + -5a) = 7 Reorder the terms: 4 + 2 + 3a + -5a = 7 Combine like terms: 4 + 2 = 6 6 + 3a + -5a = 7 Combine like terms: 3a + -5a = -2a 6 + -2a = 7 Solving 6 + -2a = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2a = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -2a = 7 + -6 -2a = 7 + -6 Combine like terms: 7 + -6 = 1 -2a = 1 Divide each side by '-2'. a = -0.5 Simplifying a = -0.5
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