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Simplifying -4(3 + a) + -6(1 + -1a) = 8 (3 * -4 + a * -4) + -6(1 + -1a) = 8 (-12 + -4a) + -6(1 + -1a) = 8 -12 + -4a + (1 * -6 + -1a * -6) = 8 -12 + -4a + (-6 + 6a) = 8 Reorder the terms: -12 + -6 + -4a + 6a = 8 Combine like terms: -12 + -6 = -18 -18 + -4a + 6a = 8 Combine like terms: -4a + 6a = 2a -18 + 2a = 8 Solving -18 + 2a = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 2a = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 2a = 8 + 18 2a = 8 + 18 Combine like terms: 8 + 18 = 26 2a = 26 Divide each side by '2'. a = 13 Simplifying a = 13
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