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Simplifying 5(a + 15) = 3a + -6 Reorder the terms: 5(15 + a) = 3a + -6 (15 * 5 + a * 5) = 3a + -6 (75 + 5a) = 3a + -6 Reorder the terms: 75 + 5a = -6 + 3a Solving 75 + 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. 75 + 5a + -3a = -6 + 3a + -3a Combine like terms: 5a + -3a = 2a 75 + 2a = -6 + 3a + -3a Combine like terms: 3a + -3a = 0 75 + 2a = -6 + 0 75 + 2a = -6 Add '-75' to each side of the equation. 75 + -75 + 2a = -6 + -75 Combine like terms: 75 + -75 = 0 0 + 2a = -6 + -75 2a = -6 + -75 Combine like terms: -6 + -75 = -81 2a = -81 Divide each side by '2'. a = -40.5 Simplifying a = -40.5
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