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Simplifying 3(2a + -6) + -1(3a + 1) = 4a + -2 Reorder the terms: 3(-6 + 2a) + -1(3a + 1) = 4a + -2 (-6 * 3 + 2a * 3) + -1(3a + 1) = 4a + -2 (-18 + 6a) + -1(3a + 1) = 4a + -2 Reorder the terms: -18 + 6a + -1(1 + 3a) = 4a + -2 -18 + 6a + (1 * -1 + 3a * -1) = 4a + -2 -18 + 6a + (-1 + -3a) = 4a + -2 Reorder the terms: -18 + -1 + 6a + -3a = 4a + -2 Combine like terms: -18 + -1 = -19 -19 + 6a + -3a = 4a + -2 Combine like terms: 6a + -3a = 3a -19 + 3a = 4a + -2 Reorder the terms: -19 + 3a = -2 + 4a Solving -19 + 3a = -2 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -19 + 3a + -4a = -2 + 4a + -4a Combine like terms: 3a + -4a = -1a -19 + -1a = -2 + 4a + -4a Combine like terms: 4a + -4a = 0 -19 + -1a = -2 + 0 -19 + -1a = -2 Add '19' to each side of the equation. -19 + 19 + -1a = -2 + 19 Combine like terms: -19 + 19 = 0 0 + -1a = -2 + 19 -1a = -2 + 19 Combine like terms: -2 + 19 = 17 -1a = 17 Divide each side by '-1'. a = -17 Simplifying a = -17
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