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Simplifying -8(2 + -1a) = 2(7 + 7a) (2 * -8 + -1a * -8) = 2(7 + 7a) (-16 + 8a) = 2(7 + 7a) -16 + 8a = (7 * 2 + 7a * 2) -16 + 8a = (14 + 14a) Solving -16 + 8a = 14 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -16 + 8a + -14a = 14 + 14a + -14a Combine like terms: 8a + -14a = -6a -16 + -6a = 14 + 14a + -14a Combine like terms: 14a + -14a = 0 -16 + -6a = 14 + 0 -16 + -6a = 14 Add '16' to each side of the equation. -16 + 16 + -6a = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -6a = 14 + 16 -6a = 14 + 16 Combine like terms: 14 + 16 = 30 -6a = 30 Divide each side by '-6'. a = -5 Simplifying a = -5
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