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Simplifying 4(1 + -8a) = 4 + -2a (1 * 4 + -8a * 4) = 4 + -2a (4 + -32a) = 4 + -2a Add '-4' to each side of the equation. 4 + -4 + -32a = 4 + -4 + -2a Combine like terms: 4 + -4 = 0 0 + -32a = 4 + -4 + -2a -32a = 4 + -4 + -2a Combine like terms: 4 + -4 = 0 -32a = 0 + -2a -32a = -2a Solving -32a = -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. -32a + 2a = -2a + 2a Combine like terms: -32a + 2a = -30a -30a = -2a + 2a Combine like terms: -2a + 2a = 0 -30a = 0 Divide each side by '-30'. a = 0.0 Simplifying a = 0.0
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