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Simplifying 6a + -1(6 + -1a) = 3a + -18 6a + (6 * -1 + -1a * -1) = 3a + -18 6a + (-6 + 1a) = 3a + -18 Reorder the terms: -6 + 6a + 1a = 3a + -18 Combine like terms: 6a + 1a = 7a -6 + 7a = 3a + -18 Reorder the terms: -6 + 7a = -18 + 3a Solving -6 + 7a = -18 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -6 + 7a + -3a = -18 + 3a + -3a Combine like terms: 7a + -3a = 4a -6 + 4a = -18 + 3a + -3a Combine like terms: 3a + -3a = 0 -6 + 4a = -18 + 0 -6 + 4a = -18 Add '6' to each side of the equation. -6 + 6 + 4a = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 4a = -18 + 6 4a = -18 + 6 Combine like terms: -18 + 6 = -12 4a = -12 Divide each side by '4'. a = -3 Simplifying a = -3
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