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Simplifying 3(5 + -2a) = 5(4 + -1a) (5 * 3 + -2a * 3) = 5(4 + -1a) (15 + -6a) = 5(4 + -1a) 15 + -6a = (4 * 5 + -1a * 5) 15 + -6a = (20 + -5a) Solving 15 + -6a = 20 + -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 = 20 + -5a + 5a Combine like terms: -6a + 5a = -1a 15 + -1a = 20 + -5a + 5a Combine like terms: -5a + 5a = 0 15 + -1a = 20 + 0 15 + -1a = 20 Add '-15' to each side of the equation. 15 + -15 + -1a = 20 + -15 Combine like terms: 15 + -15 = 0 0 + -1a = 20 + -15 -1a = 20 + -15 Combine like terms: 20 + -15 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5
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