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Simplifying 30 = -5n(6p + 6) Reorder the terms: 30 = -5n(6 + 6p) 30 = (6 * -5n + 6p * -5n) 30 = (-30n + -30np) Solving 30 = -30n + -30np Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. 30 + 30n = -30n + 30n + -30np Combine like terms: -30n + 30n = 0 30 + 30n = 0 + -30np 30 + 30n = -30np Add '30np' to each side of the equation. 30 + 30n + 30np = -30np + 30np Combine like terms: -30np + 30np = 0 30 + 30n + 30np = 0 Add '-30' to each side of the equation. 30 + 30n + -30 + 30np = 0 + -30 Reorder the terms: 30 + -30 + 30n + 30np = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 30n + 30np = 0 + -30 30n + 30np = 0 + -30 Combine like terms: 0 + -30 = -30 30n + 30np = -30 Reorder the terms: 30 + 30n + 30np = -30 + 30 Combine like terms: -30 + 30 = 0 30 + 30n + 30np = 0 Factor out the Greatest Common Factor (GCF), '30'. 30(1 + n + np) = 0 Ignore the factor 30.Subproblem 1
Set the factor '(1 + n + np)' equal to zero and attempt to solve: Simplifying 1 + n + np = 0 Solving 1 + n + np = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + n + -1 + np = 0 + -1 Reorder the terms: 1 + -1 + n + np = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n + np = 0 + -1 n + np = 0 + -1 Combine like terms: 0 + -1 = -1 n + np = -1 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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