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Simplifying -6 = c(w + 5) Reorder the terms: -6 = c(5 + w) -6 = (5 * c + w * c) -6 = (5c + cw) Solving -6 = 5c + cw Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -6 + -5c = 5c + -5c + cw Combine like terms: 5c + -5c = 0 -6 + -5c = 0 + cw -6 + -5c = cw Add '-1cw' to each side of the equation. -6 + -5c + -1cw = cw + -1cw Combine like terms: cw + -1cw = 0 -6 + -5c + -1cw = 0 Add '6' to each side of the equation. -6 + -5c + 6 + -1cw = 0 + 6 Reorder the terms: -6 + 6 + -5c + -1cw = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5c + -1cw = 0 + 6 -5c + -1cw = 0 + 6 Combine like terms: 0 + 6 = 6 -5c + -1cw = 6 Reorder the terms: -6 + -5c + -1cw = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -5c + -1cw = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(6 + 5c + cw) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + 5c + cw)' equal to zero and attempt to solve: Simplifying 6 + 5c + cw = 0 Solving 6 + 5c + cw = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 5c + -6 + cw = 0 + -6 Reorder the terms: 6 + -6 + 5c + cw = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5c + cw = 0 + -6 5c + cw = 0 + -6 Combine like terms: 0 + -6 = -6 5c + cw = -6 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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