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Simplifying -3(1 + 6a) = 14 + -1a (1 * -3 + 6a * -3) = 14 + -1a (-3 + -18a) = 14 + -1a Solving -3 + -18a = 14 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -3 + -18a + a = 14 + -1a + a Combine like terms: -18a + a = -17a -3 + -17a = 14 + -1a + a Combine like terms: -1a + a = 0 -3 + -17a = 14 + 0 -3 + -17a = 14 Add '3' to each side of the equation. -3 + 3 + -17a = 14 + 3 Combine like terms: -3 + 3 = 0 0 + -17a = 14 + 3 -17a = 14 + 3 Combine like terms: 14 + 3 = 17 -17a = 17 Divide each side by '-17'. a = -1 Simplifying a = -1
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