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Simplifying 6 + -1(4 + -7a) = -2 + 8a 6 + (4 * -1 + -7a * -1) = -2 + 8a 6 + (-4 + 7a) = -2 + 8a Combine like terms: 6 + -4 = 2 2 + 7a = -2 + 8a Solving 2 + 7a = -2 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 2 + 7a + -8a = -2 + 8a + -8a Combine like terms: 7a + -8a = -1a 2 + -1a = -2 + 8a + -8a Combine like terms: 8a + -8a = 0 2 + -1a = -2 + 0 2 + -1a = -2 Add '-2' to each side of the equation. 2 + -2 + -1a = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = -2 + -2 -1a = -2 + -2 Combine like terms: -2 + -2 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4
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