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Simplifying 2a + 4 + 8a = -2(1 + -4a) + -8(-2a + -6) Reorder the terms: 4 + 2a + 8a = -2(1 + -4a) + -8(-2a + -6) Combine like terms: 2a + 8a = 10a 4 + 10a = -2(1 + -4a) + -8(-2a + -6) 4 + 10a = (1 * -2 + -4a * -2) + -8(-2a + -6) 4 + 10a = (-2 + 8a) + -8(-2a + -6) Reorder the terms: 4 + 10a = -2 + 8a + -8(-6 + -2a) 4 + 10a = -2 + 8a + (-6 * -8 + -2a * -8) 4 + 10a = -2 + 8a + (48 + 16a) Reorder the terms: 4 + 10a = -2 + 48 + 8a + 16a Combine like terms: -2 + 48 = 46 4 + 10a = 46 + 8a + 16a Combine like terms: 8a + 16a = 24a 4 + 10a = 46 + 24a Solving 4 + 10a = 46 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 4 + 10a + -24a = 46 + 24a + -24a Combine like terms: 10a + -24a = -14a 4 + -14a = 46 + 24a + -24a Combine like terms: 24a + -24a = 0 4 + -14a = 46 + 0 4 + -14a = 46 Add '-4' to each side of the equation. 4 + -4 + -14a = 46 + -4 Combine like terms: 4 + -4 = 0 0 + -14a = 46 + -4 -14a = 46 + -4 Combine like terms: 46 + -4 = 42 -14a = 42 Divide each side by '-14'. a = -3 Simplifying a = -3
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