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Simplifying 2 + 4(n + 6) + m = 2 + m(4n + 67) Reorder the terms: 2 + 4(6 + n) + m = 2 + m(4n + 67) 2 + (6 * 4 + n * 4) + m = 2 + m(4n + 67) 2 + (24 + 4n) + m = 2 + m(4n + 67) Reorder the terms: 2 + 24 + m + 4n = 2 + m(4n + 67) Combine like terms: 2 + 24 = 26 26 + m + 4n = 2 + m(4n + 67) Reorder the terms: 26 + m + 4n = 2 + m(67 + 4n) 26 + m + 4n = 2 + (67 * m + 4n * m) 26 + m + 4n = 2 + (67m + 4mn) Solving 26 + m + 4n = 2 + 67m + 4mn Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-67m' to each side of the equation. 26 + m + -67m + 4n = 2 + 67m + -67m + 4mn Combine like terms: m + -67m = -66m 26 + -66m + 4n = 2 + 67m + -67m + 4mn Combine like terms: 67m + -67m = 0 26 + -66m + 4n = 2 + 0 + 4mn 26 + -66m + 4n = 2 + 4mn Add '-4mn' to each side of the equation. 26 + -66m + -4mn + 4n = 2 + 4mn + -4mn Combine like terms: 4mn + -4mn = 0 26 + -66m + -4mn + 4n = 2 + 0 26 + -66m + -4mn + 4n = 2 Add '-26' to each side of the equation. 26 + -66m + -4mn + -26 + 4n = 2 + -26 Reorder the terms: 26 + -26 + -66m + -4mn + 4n = 2 + -26 Combine like terms: 26 + -26 = 0 0 + -66m + -4mn + 4n = 2 + -26 -66m + -4mn + 4n = 2 + -26 Combine like terms: 2 + -26 = -24 -66m + -4mn + 4n = -24 Add '-4n' to each side of the equation. -66m + -4mn + 4n + -4n = -24 + -4n Combine like terms: 4n + -4n = 0 -66m + -4mn + 0 = -24 + -4n -66m + -4mn = -24 + -4n Reorder the terms: 24 + -66m + -4mn + 4n = -24 + -4n + 24 + 4n Reorder the terms: 24 + -66m + -4mn + 4n = -24 + 24 + -4n + 4n Combine like terms: -24 + 24 = 0 24 + -66m + -4mn + 4n = 0 + -4n + 4n 24 + -66m + -4mn + 4n = -4n + 4n Combine like terms: -4n + 4n = 0 24 + -66m + -4mn + 4n = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -33m + -2mn + 2n) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -33m + -2mn + 2n)' equal to zero and attempt to solve: Simplifying 12 + -33m + -2mn + 2n = 0 Solving 12 + -33m + -2mn + 2n = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -33m + -2mn + -12 + 2n = 0 + -12 Reorder the terms: 12 + -12 + -33m + -2mn + 2n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -33m + -2mn + 2n = 0 + -12 -33m + -2mn + 2n = 0 + -12 Combine like terms: 0 + -12 = -12 -33m + -2mn + 2n = -12 Add '-2n' to each side of the equation. -33m + -2mn + 2n + -2n = -12 + -2n Combine like terms: 2n + -2n = 0 -33m + -2mn + 0 = -12 + -2n -33m + -2mn = -12 + -2n 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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