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Simplifying -6a + -2(1 + -2a) = 7(-4a + -4) -6a + (1 * -2 + -2a * -2) = 7(-4a + -4) -6a + (-2 + 4a) = 7(-4a + -4) Reorder the terms: -2 + -6a + 4a = 7(-4a + -4) Combine like terms: -6a + 4a = -2a -2 + -2a = 7(-4a + -4) Reorder the terms: -2 + -2a = 7(-4 + -4a) -2 + -2a = (-4 * 7 + -4a * 7) -2 + -2a = (-28 + -28a) Solving -2 + -2a = -28 + -28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28a' to each side of the equation. -2 + -2a + 28a = -28 + -28a + 28a Combine like terms: -2a + 28a = 26a -2 + 26a = -28 + -28a + 28a Combine like terms: -28a + 28a = 0 -2 + 26a = -28 + 0 -2 + 26a = -28 Add '2' to each side of the equation. -2 + 2 + 26a = -28 + 2 Combine like terms: -2 + 2 = 0 0 + 26a = -28 + 2 26a = -28 + 2 Combine like terms: -28 + 2 = -26 26a = -26 Divide each side by '26'. a = -1 Simplifying a = -1
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