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Simplifying -5(5a + 6) = 2(3a + 8) Reorder the terms: -5(6 + 5a) = 2(3a + 8) (6 * -5 + 5a * -5) = 2(3a + 8) (-30 + -25a) = 2(3a + 8) Reorder the terms: -30 + -25a = 2(8 + 3a) -30 + -25a = (8 * 2 + 3a * 2) -30 + -25a = (16 + 6a) Solving -30 + -25a = 16 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -30 + -25a + -6a = 16 + 6a + -6a Combine like terms: -25a + -6a = -31a -30 + -31a = 16 + 6a + -6a Combine like terms: 6a + -6a = 0 -30 + -31a = 16 + 0 -30 + -31a = 16 Add '30' to each side of the equation. -30 + 30 + -31a = 16 + 30 Combine like terms: -30 + 30 = 0 0 + -31a = 16 + 30 -31a = 16 + 30 Combine like terms: 16 + 30 = 46 -31a = 46 Divide each side by '-31'. a = -1.483870968 Simplifying a = -1.483870968
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