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Simplifying -2(1 + 6a) = -8a + 18 (1 * -2 + 6a * -2) = -8a + 18 (-2 + -12a) = -8a + 18 Reorder the terms: -2 + -12a = 18 + -8a Solving -2 + -12a = 18 + -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. -2 + -12a + 8a = 18 + -8a + 8a Combine like terms: -12a + 8a = -4a -2 + -4a = 18 + -8a + 8a Combine like terms: -8a + 8a = 0 -2 + -4a = 18 + 0 -2 + -4a = 18 Add '2' to each side of the equation. -2 + 2 + -4a = 18 + 2 Combine like terms: -2 + 2 = 0 0 + -4a = 18 + 2 -4a = 18 + 2 Combine like terms: 18 + 2 = 20 -4a = 20 Divide each side by '-4'. a = -5 Simplifying a = -5
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