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Simplifying 30w + -1(-1w + 6) + a(-5w + 4) = -1(5w + 6) + (-8 + 3w) Reorder the terms: 30w + -1(6 + -1w) + a(-5w + 4) = -1(5w + 6) + (-8 + 3w) 30w + (6 * -1 + -1w * -1) + a(-5w + 4) = -1(5w + 6) + (-8 + 3w) 30w + (-6 + 1w) + a(-5w + 4) = -1(5w + 6) + (-8 + 3w) Reorder the terms: 30w + -6 + 1w + a(4 + -5w) = -1(5w + 6) + (-8 + 3w) 30w + -6 + 1w + (4 * a + -5w * a) = -1(5w + 6) + (-8 + 3w) 30w + -6 + 1w + (4a + -5aw) = -1(5w + 6) + (-8 + 3w) Reorder the terms: -6 + 4a + -5aw + 30w + 1w = -1(5w + 6) + (-8 + 3w) Combine like terms: 30w + 1w = 31w -6 + 4a + -5aw + 31w = -1(5w + 6) + (-8 + 3w) Reorder the terms: -6 + 4a + -5aw + 31w = -1(6 + 5w) + (-8 + 3w) -6 + 4a + -5aw + 31w = (6 * -1 + 5w * -1) + (-8 + 3w) -6 + 4a + -5aw + 31w = (-6 + -5w) + (-8 + 3w) Remove parenthesis around (-8 + 3w) -6 + 4a + -5aw + 31w = -6 + -5w + -8 + 3w Reorder the terms: -6 + 4a + -5aw + 31w = -6 + -8 + -5w + 3w Combine like terms: -6 + -8 = -14 -6 + 4a + -5aw + 31w = -14 + -5w + 3w Combine like terms: -5w + 3w = -2w -6 + 4a + -5aw + 31w = -14 + -2w Solving -6 + 4a + -5aw + 31w = -14 + -2w Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 4a + -5aw + 6 + 31w = -14 + 6 + -2w Reorder the terms: -6 + 6 + 4a + -5aw + 31w = -14 + 6 + -2w Combine like terms: -6 + 6 = 0 0 + 4a + -5aw + 31w = -14 + 6 + -2w 4a + -5aw + 31w = -14 + 6 + -2w Combine like terms: -14 + 6 = -8 4a + -5aw + 31w = -8 + -2w Add '-31w' to each side of the equation. 4a + -5aw + 31w + -31w = -8 + -2w + -31w Combine like terms: 31w + -31w = 0 4a + -5aw + 0 = -8 + -2w + -31w 4a + -5aw = -8 + -2w + -31w Combine like terms: -2w + -31w = -33w 4a + -5aw = -8 + -33w Reorder the terms: 8 + 4a + -5aw + 33w = -8 + -33w + 8 + 33w Reorder the terms: 8 + 4a + -5aw + 33w = -8 + 8 + -33w + 33w Combine like terms: -8 + 8 = 0 8 + 4a + -5aw + 33w = 0 + -33w + 33w 8 + 4a + -5aw + 33w = -33w + 33w Combine like terms: -33w + 33w = 0 8 + 4a + -5aw + 33w = 0 The solution to this equation could not be determined.
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