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Simplifying 5(a + -3) + -3(a + 2) = -11 Reorder the terms: 5(-3 + a) + -3(a + 2) = -11 (-3 * 5 + a * 5) + -3(a + 2) = -11 (-15 + 5a) + -3(a + 2) = -11 Reorder the terms: -15 + 5a + -3(2 + a) = -11 -15 + 5a + (2 * -3 + a * -3) = -11 -15 + 5a + (-6 + -3a) = -11 Reorder the terms: -15 + -6 + 5a + -3a = -11 Combine like terms: -15 + -6 = -21 -21 + 5a + -3a = -11 Combine like terms: 5a + -3a = 2a -21 + 2a = -11 Solving -21 + 2a = -11 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 2a = -11 + 21 Combine like terms: -21 + 21 = 0 0 + 2a = -11 + 21 2a = -11 + 21 Combine like terms: -11 + 21 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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