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Simplifying -6a + 2(1 + -5a) = 4 + -3(8 + 6a) -6a + (1 * 2 + -5a * 2) = 4 + -3(8 + 6a) -6a + (2 + -10a) = 4 + -3(8 + 6a) Reorder the terms: 2 + -6a + -10a = 4 + -3(8 + 6a) Combine like terms: -6a + -10a = -16a 2 + -16a = 4 + -3(8 + 6a) 2 + -16a = 4 + (8 * -3 + 6a * -3) 2 + -16a = 4 + (-24 + -18a) Combine like terms: 4 + -24 = -20 2 + -16a = -20 + -18a Solving 2 + -16a = -20 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. 2 + -16a + 18a = -20 + -18a + 18a Combine like terms: -16a + 18a = 2a 2 + 2a = -20 + -18a + 18a Combine like terms: -18a + 18a = 0 2 + 2a = -20 + 0 2 + 2a = -20 Add '-2' to each side of the equation. 2 + -2 + 2a = -20 + -2 Combine like terms: 2 + -2 = 0 0 + 2a = -20 + -2 2a = -20 + -2 Combine like terms: -20 + -2 = -22 2a = -22 Divide each side by '2'. a = -11 Simplifying a = -11
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