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Simplifying 0 = -6bracket(n + -7) Reorder the terms: 0 = -6abcekrt(-7 + n) 0 = (-7 * -6abcekrt + n * -6abcekrt) Reorder the terms: 0 = (-6abceknrt + 42abcekrt) 0 = (-6abceknrt + 42abcekrt) Solving 0 = -6abceknrt + 42abcekrt Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6abceknrt' to each side of the equation. 0 + 6abceknrt = -6abceknrt + 6abceknrt + 42abcekrt Remove the zero: 6abceknrt = -6abceknrt + 6abceknrt + 42abcekrt Combine like terms: -6abceknrt + 6abceknrt = 0 6abceknrt = 0 + 42abcekrt 6abceknrt = 42abcekrt Add '-42abcekrt' to each side of the equation. 6abceknrt + -42abcekrt = 42abcekrt + -42abcekrt Combine like terms: 42abcekrt + -42abcekrt = 0 6abceknrt + -42abcekrt = 0 Factor out the Greatest Common Factor (GCF), '6abcekrt'. 6abcekrt(n + -7) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'abcekrt' equal to zero and attempt to solve: Simplifying abcekrt = 0 Solving abcekrt = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abcekrt = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(n + -7)' equal to zero and attempt to solve: Simplifying n + -7 = 0 Reorder the terms: -7 + n = 0 Solving -7 + n = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + n = 0 + 7 n = 0 + 7 Combine like terms: 0 + 7 = 7 n = 7 Add '-1n' to each side of the equation. n + -1n = 7 + -1n Combine like terms: n + -1n = 0 0 = 7 + -1n Simplifying 0 = 7 + -1n 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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