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Simplifying -2(7a + -2) = -8(1 + a) Reorder the terms: -2(-2 + 7a) = -8(1 + a) (-2 * -2 + 7a * -2) = -8(1 + a) (4 + -14a) = -8(1 + a) 4 + -14a = (1 * -8 + a * -8) 4 + -14a = (-8 + -8a) Solving 4 + -14a = -8 + -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. 4 + -14a + 8a = -8 + -8a + 8a Combine like terms: -14a + 8a = -6a 4 + -6a = -8 + -8a + 8a Combine like terms: -8a + 8a = 0 4 + -6a = -8 + 0 4 + -6a = -8 Add '-4' to each side of the equation. 4 + -4 + -6a = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -6a = -8 + -4 -6a = -8 + -4 Combine like terms: -8 + -4 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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