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Simplifying 26 = 6n + -2(n + 1) * z Reorder the terms: 26 = 6n + -2(1 + n) * z Reorder the terms for easier multiplication: 26 = 6n + -2z(1 + n) 26 = 6n + (1 * -2z + n * -2z) Reorder the terms: 26 = 6n + (-2nz + -2z) 26 = 6n + (-2nz + -2z) Solving 26 = 6n + -2nz + -2z Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 26 + -6n = 6n + -2nz + -6n + -2z Reorder the terms: 26 + -6n = 6n + -6n + -2nz + -2z Combine like terms: 6n + -6n = 0 26 + -6n = 0 + -2nz + -2z 26 + -6n = -2nz + -2z Add '2nz' to each side of the equation. 26 + -6n + 2nz = -2nz + 2nz + -2z Combine like terms: -2nz + 2nz = 0 26 + -6n + 2nz = 0 + -2z 26 + -6n + 2nz = -2z Add '-26' to each side of the equation. 26 + -6n + -26 + 2nz = -26 + -2z Reorder the terms: 26 + -26 + -6n + 2nz = -26 + -2z Combine like terms: 26 + -26 = 0 0 + -6n + 2nz = -26 + -2z -6n + 2nz = -26 + -2z Reorder the terms: 26 + -6n + 2nz + 2z = -26 + -2z + 26 + 2z Reorder the terms: 26 + -6n + 2nz + 2z = -26 + 26 + -2z + 2z Combine like terms: -26 + 26 = 0 26 + -6n + 2nz + 2z = 0 + -2z + 2z 26 + -6n + 2nz + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 26 + -6n + 2nz + 2z = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(13 + -3n + nz + z) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(13 + -3n + nz + z)' equal to zero and attempt to solve: Simplifying 13 + -3n + nz + z = 0 Solving 13 + -3n + nz + z = 0 Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -3n + nz + -13 + z = 0 + -13 Reorder the terms: 13 + -13 + -3n + nz + z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3n + nz + z = 0 + -13 -3n + nz + z = 0 + -13 Combine like terms: 0 + -13 = -13 -3n + nz + z = -13 Add '-1z' to each side of the equation. -3n + nz + z + -1z = -13 + -1z Combine like terms: z + -1z = 0 -3n + nz + 0 = -13 + -1z -3n + nz = -13 + -1z 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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