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Simplifying 2(a + -3) + -1(a + -2) = 8 Reorder the terms: 2(-3 + a) + -1(a + -2) = 8 (-3 * 2 + a * 2) + -1(a + -2) = 8 (-6 + 2a) + -1(a + -2) = 8 Reorder the terms: -6 + 2a + -1(-2 + a) = 8 -6 + 2a + (-2 * -1 + a * -1) = 8 -6 + 2a + (2 + -1a) = 8 Reorder the terms: -6 + 2 + 2a + -1a = 8 Combine like terms: -6 + 2 = -4 -4 + 2a + -1a = 8 Combine like terms: 2a + -1a = 1a -4 + 1a = 8 Solving -4 + 1a = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1a = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 1a = 8 + 4 1a = 8 + 4 Combine like terms: 8 + 4 = 12 1a = 12 Divide each side by '1'. a = 12 Simplifying a = 12
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