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Simplifying -2(1 + 6a) = -1(7a + -4) + -6 (1 * -2 + 6a * -2) = -1(7a + -4) + -6 (-2 + -12a) = -1(7a + -4) + -6 Reorder the terms: -2 + -12a = -1(-4 + 7a) + -6 -2 + -12a = (-4 * -1 + 7a * -1) + -6 -2 + -12a = (4 + -7a) + -6 Reorder the terms: -2 + -12a = 4 + -6 + -7a Combine like terms: 4 + -6 = -2 -2 + -12a = -2 + -7a Add '2' to each side of the equation. -2 + 2 + -12a = -2 + 2 + -7a Combine like terms: -2 + 2 = 0 0 + -12a = -2 + 2 + -7a -12a = -2 + 2 + -7a Combine like terms: -2 + 2 = 0 -12a = 0 + -7a -12a = -7a Solving -12a = -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -12a + 7a = -7a + 7a Combine like terms: -12a + 7a = -5a -5a = -7a + 7a Combine like terms: -7a + 7a = 0 -5a = 0 Divide each side by '-5'. a = 0 Simplifying a = 0
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