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Simplifying -4n(2z + 6) + -12 = 4 Reorder the terms: -4n(6 + 2z) + -12 = 4 (6 * -4n + 2z * -4n) + -12 = 4 (-24n + -8nz) + -12 = 4 Reorder the terms: -12 + -24n + -8nz = 4 Solving -12 + -24n + -8nz = 4 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -24n + 12 + -8nz = 4 + 12 Reorder the terms: -12 + 12 + -24n + -8nz = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -24n + -8nz = 4 + 12 -24n + -8nz = 4 + 12 Combine like terms: 4 + 12 = 16 -24n + -8nz = 16 Reorder the terms: -16 + -24n + -8nz = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + -24n + -8nz = 0 Factor out the Greatest Common Factor (GCF), '-8'. -8(2 + 3n + nz) = 0 Ignore the factor -8.Subproblem 1
Set the factor '(2 + 3n + nz)' equal to zero and attempt to solve: Simplifying 2 + 3n + nz = 0 Solving 2 + 3n + nz = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3n + -2 + nz = 0 + -2 Reorder the terms: 2 + -2 + 3n + nz = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3n + nz = 0 + -2 3n + nz = 0 + -2 Combine like terms: 0 + -2 = -2 3n + nz = -2 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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