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Simplifying -2(3a + -2) = 5(a + 3) Reorder the terms: -2(-2 + 3a) = 5(a + 3) (-2 * -2 + 3a * -2) = 5(a + 3) (4 + -6a) = 5(a + 3) Reorder the terms: 4 + -6a = 5(3 + a) 4 + -6a = (3 * 5 + a * 5) 4 + -6a = (15 + 5a) Solving 4 + -6a = 15 + 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. 4 + -6a + -5a = 15 + 5a + -5a Combine like terms: -6a + -5a = -11a 4 + -11a = 15 + 5a + -5a Combine like terms: 5a + -5a = 0 4 + -11a = 15 + 0 4 + -11a = 15 Add '-4' to each side of the equation. 4 + -4 + -11a = 15 + -4 Combine like terms: 4 + -4 = 0 0 + -11a = 15 + -4 -11a = 15 + -4 Combine like terms: 15 + -4 = 11 -11a = 11 Divide each side by '-11'. a = -1 Simplifying a = -1
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