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Simplifying -5(3 + -1a) = -3(2 + -1a) (3 * -5 + -1a * -5) = -3(2 + -1a) (-15 + 5a) = -3(2 + -1a) -15 + 5a = (2 * -3 + -1a * -3) -15 + 5a = (-6 + 3a) Solving -15 + 5a = -6 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -15 + 5a + -3a = -6 + 3a + -3a Combine like terms: 5a + -3a = 2a -15 + 2a = -6 + 3a + -3a Combine like terms: 3a + -3a = 0 -15 + 2a = -6 + 0 -15 + 2a = -6 Add '15' to each side of the equation. -15 + 15 + 2a = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 2a = -6 + 15 2a = -6 + 15 Combine like terms: -6 + 15 = 9 2a = 9 Divide each side by '2'. a = 4.5 Simplifying a = 4.5
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