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Simplifying 8 + 4a = -4(1 + -2a) 8 + 4a = (1 * -4 + -2a * -4) 8 + 4a = (-4 + 8a) Solving 8 + 4a = -4 + 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. 8 + 4a + -8a = -4 + 8a + -8a Combine like terms: 4a + -8a = -4a 8 + -4a = -4 + 8a + -8a Combine like terms: 8a + -8a = 0 8 + -4a = -4 + 0 8 + -4a = -4 Add '-8' to each side of the equation. 8 + -8 + -4a = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -4a = -4 + -8 -4a = -4 + -8 Combine like terms: -4 + -8 = -12 -4a = -12 Divide each side by '-4'. a = 3 Simplifying a = 3
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