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