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Simplifying (3a + -2) + -1(3 + -5a) = 1 Reorder the terms: (-2 + 3a) + -1(3 + -5a) = 1 Remove parenthesis around (-2 + 3a) -2 + 3a + -1(3 + -5a) = 1 -2 + 3a + (3 * -1 + -5a * -1) = 1 -2 + 3a + (-3 + 5a) = 1 Reorder the terms: -2 + -3 + 3a + 5a = 1 Combine like terms: -2 + -3 = -5 -5 + 3a + 5a = 1 Combine like terms: 3a + 5a = 8a -5 + 8a = 1 Solving -5 + 8a = 1 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 + 8a = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 8a = 1 + 5 8a = 1 + 5 Combine like terms: 1 + 5 = 6 8a = 6 Divide each side by '8'. a = 0.75 Simplifying a = 0.75
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