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