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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 = -17 -17 + 6a + -3a = 4a + -2 Combine like terms: 6a + -3a = 3a -17 + 3a = 4a + -2 Reorder the terms: -17 + 3a = -2 + 4a Solving -17 + 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. -17 + 3a + -4a = -2 + 4a + -4a Combine like terms: 3a + -4a = -1a -17 + -1a = -2 + 4a + -4a Combine like terms: 4a + -4a = 0 -17 + -1a = -2 + 0 -17 + -1a = -2 Add '17' to each side of the equation. -17 + 17 + -1a = -2 + 17 Combine like terms: -17 + 17 = 0 0 + -1a = -2 + 17 -1a = -2 + 17 Combine like terms: -2 + 17 = 15 -1a = 15 Divide each side by '-1'. a = -15 Simplifying a = -15
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