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Simplifying 3(2a + -6) + -1(-3a + -1a) = 4a + -2 Reorder the terms: 3(-6 + 2a) + -1(-3a + -1a) = 4a + -2 (-6 * 3 + 2a * 3) + -1(-3a + -1a) = 4a + -2 (-18 + 6a) + -1(-3a + -1a) = 4a + -2 Combine like terms: -3a + -1a = -4a -18 + 6a + -1(-4a) = 4a + -2 Remove parenthesis around (-4a) -18 + 6a + -1 * -4a = 4a + -2 Multiply -1 * -4 -18 + 6a + 4a = 4a + -2 Combine like terms: 6a + 4a = 10a -18 + 10a = 4a + -2 Reorder the terms: -18 + 10a = -2 + 4a Solving -18 + 10a = -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. -18 + 10a + -4a = -2 + 4a + -4a Combine like terms: 10a + -4a = 6a -18 + 6a = -2 + 4a + -4a Combine like terms: 4a + -4a = 0 -18 + 6a = -2 + 0 -18 + 6a = -2 Add '18' to each side of the equation. -18 + 18 + 6a = -2 + 18 Combine like terms: -18 + 18 = 0 0 + 6a = -2 + 18 6a = -2 + 18 Combine like terms: -2 + 18 = 16 6a = 16 Divide each side by '6'. a = 2.666666667 Simplifying a = 2.666666667
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