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Simplifying 3(5 + -2a) = 2 + -5(4 + -1a) (5 * 3 + -2a * 3) = 2 + -5(4 + -1a) (15 + -6a) = 2 + -5(4 + -1a) 15 + -6a = 2 + (4 * -5 + -1a * -5) 15 + -6a = 2 + (-20 + 5a) Combine like terms: 2 + -20 = -18 15 + -6a = -18 + 5a Solving 15 + -6a = -18 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 15 + -6a + -5a = -18 + 5a + -5a Combine like terms: -6a + -5a = -11a 15 + -11a = -18 + 5a + -5a Combine like terms: 5a + -5a = 0 15 + -11a = -18 + 0 15 + -11a = -18 Add '-15' to each side of the equation. 15 + -15 + -11a = -18 + -15 Combine like terms: 15 + -15 = 0 0 + -11a = -18 + -15 -11a = -18 + -15 Combine like terms: -18 + -15 = -33 -11a = -33 Divide each side by '-11'. a = 3 Simplifying a = 3
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