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Simplifying 8(1 + -4a) = 8 + 2a (1 * 8 + -4a * 8) = 8 + 2a (8 + -32a) = 8 + 2a Add '-8' to each side of the equation. 8 + -8 + -32a = 8 + -8 + 2a Combine like terms: 8 + -8 = 0 0 + -32a = 8 + -8 + 2a -32a = 8 + -8 + 2a Combine like terms: 8 + -8 = 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 = -34a -34a = 2a + -2a Combine like terms: 2a + -2a = 0 -34a = 0 Divide each side by '-34'. a = 0 Simplifying a = 0
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