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Simplifying 12w + 5 + -6a + -8w + 7 + 8a = 0 Reorder the terms: 5 + 7 + -6a + 8a + 12w + -8w = 0 Combine like terms: 5 + 7 = 12 12 + -6a + 8a + 12w + -8w = 0 Combine like terms: -6a + 8a = 2a 12 + 2a + 12w + -8w = 0 Combine like terms: 12w + -8w = 4w 12 + 2a + 4w = 0 Solving 12 + 2a + 4w = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2a + -12 + 4w = 0 + -12 Reorder the terms: 12 + -12 + 2a + 4w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2a + 4w = 0 + -12 2a + 4w = 0 + -12 Combine like terms: 0 + -12 = -12 2a + 4w = -12 Add '-4w' to each side of the equation. 2a + 4w + -4w = -12 + -4w Combine like terms: 4w + -4w = 0 2a + 0 = -12 + -4w 2a = -12 + -4w Divide each side by '2'. a = -6 + -2w Simplifying a = -6 + -2w
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