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Simplifying (6a + -12) + -1(4a + 4) = 0 Reorder the terms: (-12 + 6a) + -1(4a + 4) = 0 Remove parenthesis around (-12 + 6a) -12 + 6a + -1(4a + 4) = 0 Reorder the terms: -12 + 6a + -1(4 + 4a) = 0 -12 + 6a + (4 * -1 + 4a * -1) = 0 -12 + 6a + (-4 + -4a) = 0 Reorder the terms: -12 + -4 + 6a + -4a = 0 Combine like terms: -12 + -4 = -16 -16 + 6a + -4a = 0 Combine like terms: 6a + -4a = 2a -16 + 2a = 0 Solving -16 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 2a = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2a = 0 + 16 2a = 0 + 16 Combine like terms: 0 + 16 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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