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Simplifying 6(a + 3) = 4(a + -1) Reorder the terms: 6(3 + a) = 4(a + -1) (3 * 6 + a * 6) = 4(a + -1) (18 + 6a) = 4(a + -1) Reorder the terms: 18 + 6a = 4(-1 + a) 18 + 6a = (-1 * 4 + a * 4) 18 + 6a = (-4 + 4a) Solving 18 + 6a = -4 + 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 + 6a + -4a = -4 + 4a + -4a Combine like terms: 6a + -4a = 2a 18 + 2a = -4 + 4a + -4a Combine like terms: 4a + -4a = 0 18 + 2a = -4 + 0 18 + 2a = -4 Add '-18' to each side of the equation. 18 + -18 + 2a = -4 + -18 Combine like terms: 18 + -18 = 0 0 + 2a = -4 + -18 2a = -4 + -18 Combine like terms: -4 + -18 = -22 2a = -22 Divide each side by '2'. a = -11 Simplifying a = -11
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