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Simplifying 2(1 + -8a) = 2(1 + 6a) (1 * 2 + -8a * 2) = 2(1 + 6a) (2 + -16a) = 2(1 + 6a) 2 + -16a = (1 * 2 + 6a * 2) 2 + -16a = (2 + 12a) Add '-2' to each side of the equation. 2 + -2 + -16a = 2 + -2 + 12a Combine like terms: 2 + -2 = 0 0 + -16a = 2 + -2 + 12a -16a = 2 + -2 + 12a Combine like terms: 2 + -2 = 0 -16a = 0 + 12a -16a = 12a Solving -16a = 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -16a + -12a = 12a + -12a Combine like terms: -16a + -12a = -28a -28a = 12a + -12a Combine like terms: 12a + -12a = 0 -28a = 0 Divide each side by '-28'. a = 0 Simplifying a = 0
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