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