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Simplifying 6(a + 3) + -2 = 4(a + -4) Reorder the terms: 6(3 + a) + -2 = 4(a + -4) (3 * 6 + a * 6) + -2 = 4(a + -4) (18 + 6a) + -2 = 4(a + -4) Reorder the terms: 18 + -2 + 6a = 4(a + -4) Combine like terms: 18 + -2 = 16 16 + 6a = 4(a + -4) Reorder the terms: 16 + 6a = 4(-4 + a) 16 + 6a = (-4 * 4 + a * 4) 16 + 6a = (-16 + 4a) Solving 16 + 6a = -16 + 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. 16 + 6a + -4a = -16 + 4a + -4a Combine like terms: 6a + -4a = 2a 16 + 2a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 16 + 2a = -16 + 0 16 + 2a = -16 Add '-16' to each side of the equation. 16 + -16 + 2a = -16 + -16 Combine like terms: 16 + -16 = 0 0 + 2a = -16 + -16 2a = -16 + -16 Combine like terms: -16 + -16 = -32 2a = -32 Divide each side by '2'. a = -16 Simplifying a = -16
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