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Simplifying 3(a + -2) + -1(5 + a) = -3 Reorder the terms: 3(-2 + a) + -1(5 + a) = -3 (-2 * 3 + a * 3) + -1(5 + a) = -3 (-6 + 3a) + -1(5 + a) = -3 -6 + 3a + (5 * -1 + a * -1) = -3 -6 + 3a + (-5 + -1a) = -3 Reorder the terms: -6 + -5 + 3a + -1a = -3 Combine like terms: -6 + -5 = -11 -11 + 3a + -1a = -3 Combine like terms: 3a + -1a = 2a -11 + 2a = -3 Solving -11 + 2a = -3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2a = -3 + 11 Combine like terms: -11 + 11 = 0 0 + 2a = -3 + 11 2a = -3 + 11 Combine like terms: -3 + 11 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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