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Simplifying 8a + 2a + -4w + 5a + 6w = 0 Reorder the terms: 8a + 2a + 5a + -4w + 6w = 0 Combine like terms: 8a + 2a = 10a 10a + 5a + -4w + 6w = 0 Combine like terms: 10a + 5a = 15a 15a + -4w + 6w = 0 Combine like terms: -4w + 6w = 2w 15a + 2w = 0 Solving 15a + 2w = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2w' to each side of the equation. 15a + 2w + -2w = 0 + -2w Combine like terms: 2w + -2w = 0 15a + 0 = 0 + -2w 15a = 0 + -2w Remove the zero: 15a = -2w Divide each side by '15'. a = -0.1333333333w Simplifying a = -0.1333333333w
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