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Simplifying -3(2a + -5) = 5(6 + 7a) Reorder the terms: -3(-5 + 2a) = 5(6 + 7a) (-5 * -3 + 2a * -3) = 5(6 + 7a) (15 + -6a) = 5(6 + 7a) 15 + -6a = (6 * 5 + 7a * 5) 15 + -6a = (30 + 35a) Solving 15 + -6a = 30 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. 15 + -6a + -35a = 30 + 35a + -35a Combine like terms: -6a + -35a = -41a 15 + -41a = 30 + 35a + -35a Combine like terms: 35a + -35a = 0 15 + -41a = 30 + 0 15 + -41a = 30 Add '-15' to each side of the equation. 15 + -15 + -41a = 30 + -15 Combine like terms: 15 + -15 = 0 0 + -41a = 30 + -15 -41a = 30 + -15 Combine like terms: 30 + -15 = 15 -41a = 15 Divide each side by '-41'. a = -0.3658536585 Simplifying a = -0.3658536585
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