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Simplifying 6(7 + -1pn) = -4n + -8 (7 * 6 + -1np * 6) = -4n + -8 (42 + -6np) = -4n + -8 Reorder the terms: 42 + -6np = -8 + -4n Solving 42 + -6np = -8 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 42 + 4n + -6np = -8 + -4n + 4n Combine like terms: -4n + 4n = 0 42 + 4n + -6np = -8 + 0 42 + 4n + -6np = -8 Add '-42' to each side of the equation. 42 + 4n + -42 + -6np = -8 + -42 Reorder the terms: 42 + -42 + 4n + -6np = -8 + -42 Combine like terms: 42 + -42 = 0 0 + 4n + -6np = -8 + -42 4n + -6np = -8 + -42 Combine like terms: -8 + -42 = -50 4n + -6np = -50 Reorder the terms: 50 + 4n + -6np = -50 + 50 Combine like terms: -50 + 50 = 0 50 + 4n + -6np = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(25 + 2n + -3np) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(25 + 2n + -3np)' equal to zero and attempt to solve: Simplifying 25 + 2n + -3np = 0 Solving 25 + 2n + -3np = 0 Move all terms containing n to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 2n + -25 + -3np = 0 + -25 Reorder the terms: 25 + -25 + 2n + -3np = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2n + -3np = 0 + -25 2n + -3np = 0 + -25 Combine like terms: 0 + -25 = -25 2n + -3np = -25 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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