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Simplifying 5a + -2(a + 2) = -1(2a + 15) Reorder the terms: 5a + -2(2 + a) = -1(2a + 15) 5a + (2 * -2 + a * -2) = -1(2a + 15) 5a + (-4 + -2a) = -1(2a + 15) Reorder the terms: -4 + 5a + -2a = -1(2a + 15) Combine like terms: 5a + -2a = 3a -4 + 3a = -1(2a + 15) Reorder the terms: -4 + 3a = -1(15 + 2a) -4 + 3a = (15 * -1 + 2a * -1) -4 + 3a = (-15 + -2a) Solving -4 + 3a = -15 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -4 + 3a + 2a = -15 + -2a + 2a Combine like terms: 3a + 2a = 5a -4 + 5a = -15 + -2a + 2a Combine like terms: -2a + 2a = 0 -4 + 5a = -15 + 0 -4 + 5a = -15 Add '4' to each side of the equation. -4 + 4 + 5a = -15 + 4 Combine like terms: -4 + 4 = 0 0 + 5a = -15 + 4 5a = -15 + 4 Combine like terms: -15 + 4 = -11 5a = -11 Divide each side by '5'. a = -2.2 Simplifying a = -2.2
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