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Simplifying 11w + 2a(3w + -1) = 15w Reorder the terms: 11w + 2a(-1 + 3w) = 15w 11w + (-1 * 2a + 3w * 2a) = 15w 11w + (-2a + 6aw) = 15w Reorder the terms: -2a + 6aw + 11w = 15w Solving -2a + 6aw + 11w = 15w Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11w' to each side of the equation. -2a + 6aw + 11w + -11w = 15w + -11w Combine like terms: 11w + -11w = 0 -2a + 6aw + 0 = 15w + -11w -2a + 6aw = 15w + -11w Combine like terms: 15w + -11w = 4w -2a + 6aw = 4w Combine like terms: 4w + -4w = 0 -2a + 6aw + -4w = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1a + 3aw + -2w) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1a + 3aw + -2w)' equal to zero and attempt to solve: Simplifying -1a + 3aw + -2w = 0 Solving -1a + 3aw + -2w = 0 Move all terms containing a to the left, all other terms to the right. Add '2w' to each side of the equation. -1a + 3aw + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 -1a + 3aw + 0 = 0 + 2w -1a + 3aw = 0 + 2w Remove the zero: -1a + 3aw = 2w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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