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Simplifying n(9 + 6w) = 27 + 18w (9 * n + 6w * n) = 27 + 18w (9n + 6nw) = 27 + 18w Solving 9n + 6nw = 27 + 18w Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Reorder the terms: -27 + 9n + 6nw + -18w = 27 + 18w + -27 + -18w Reorder the terms: -27 + 9n + 6nw + -18w = 27 + -27 + 18w + -18w Combine like terms: 27 + -27 = 0 -27 + 9n + 6nw + -18w = 0 + 18w + -18w -27 + 9n + 6nw + -18w = 18w + -18w Combine like terms: 18w + -18w = 0 -27 + 9n + 6nw + -18w = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-9 + 3n + 2nw + -6w) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-9 + 3n + 2nw + -6w)' equal to zero and attempt to solve: Simplifying -9 + 3n + 2nw + -6w = 0 Solving -9 + 3n + 2nw + -6w = 0 Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 3n + 2nw + 9 + -6w = 0 + 9 Reorder the terms: -9 + 9 + 3n + 2nw + -6w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 3n + 2nw + -6w = 0 + 9 3n + 2nw + -6w = 0 + 9 Combine like terms: 0 + 9 = 9 3n + 2nw + -6w = 9 Add '6w' to each side of the equation. 3n + 2nw + -6w + 6w = 9 + 6w Combine like terms: -6w + 6w = 0 3n + 2nw + 0 = 9 + 6w 3n + 2nw = 9 + 6w 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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