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Simplifying (4 + 3a) + -1(5a + -11) = 0 Remove parenthesis around (4 + 3a) 4 + 3a + -1(5a + -11) = 0 Reorder the terms: 4 + 3a + -1(-11 + 5a) = 0 4 + 3a + (-11 * -1 + 5a * -1) = 0 4 + 3a + (11 + -5a) = 0 Reorder the terms: 4 + 11 + 3a + -5a = 0 Combine like terms: 4 + 11 = 15 15 + 3a + -5a = 0 Combine like terms: 3a + -5a = -2a 15 + -2a = 0 Solving 15 + -2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2a = 0 + -15 -2a = 0 + -15 Combine like terms: 0 + -15 = -15 -2a = -15 Divide each side by '-2'. a = 7.5 Simplifying a = 7.5
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