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Simplifying 10(w + 4a) + -12 + 3(w + -8) = 0 Reorder the terms: 10(4a + w) + -12 + 3(w + -8) = 0 (4a * 10 + w * 10) + -12 + 3(w + -8) = 0 (40a + 10w) + -12 + 3(w + -8) = 0 Reorder the terms: 40a + 10w + -12 + 3(-8 + w) = 0 40a + 10w + -12 + (-8 * 3 + w * 3) = 0 40a + 10w + -12 + (-24 + 3w) = 0 Reorder the terms: -12 + -24 + 40a + 10w + 3w = 0 Combine like terms: -12 + -24 = -36 -36 + 40a + 10w + 3w = 0 Combine like terms: 10w + 3w = 13w -36 + 40a + 13w = 0 Solving -36 + 40a + 13w = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 40a + 36 + 13w = 0 + 36 Reorder the terms: -36 + 36 + 40a + 13w = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 40a + 13w = 0 + 36 40a + 13w = 0 + 36 Combine like terms: 0 + 36 = 36 40a + 13w = 36 Add '-13w' to each side of the equation. 40a + 13w + -13w = 36 + -13w Combine like terms: 13w + -13w = 0 40a + 0 = 36 + -13w 40a = 36 + -13w Divide each side by '40'. a = 0.9 + -0.325w Simplifying a = 0.9 + -0.325w
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