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Simplifying 8(x + -7) * n + 26 = 8x + -30 Reorder the terms: 8(-7 + x) * n + 26 = 8x + -30 Reorder the terms for easier multiplication: 8n(-7 + x) + 26 = 8x + -30 (-7 * 8n + x * 8n) + 26 = 8x + -30 (-56n + 8nx) + 26 = 8x + -30 Reorder the terms: 26 + -56n + 8nx = 8x + -30 Reorder the terms: 26 + -56n + 8nx = -30 + 8x Solving 26 + -56n + 8nx = -30 + 8x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -56n + -26 + 8nx = -30 + -26 + 8x Reorder the terms: 26 + -26 + -56n + 8nx = -30 + -26 + 8x Combine like terms: 26 + -26 = 0 0 + -56n + 8nx = -30 + -26 + 8x -56n + 8nx = -30 + -26 + 8x Combine like terms: -30 + -26 = -56 -56n + 8nx = -56 + 8x Reorder the terms: 56 + -56n + 8nx + -8x = -56 + 8x + 56 + -8x Reorder the terms: 56 + -56n + 8nx + -8x = -56 + 56 + 8x + -8x Combine like terms: -56 + 56 = 0 56 + -56n + 8nx + -8x = 0 + 8x + -8x 56 + -56n + 8nx + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 56 + -56n + 8nx + -8x = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(7 + -7n + nx + -1x) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(7 + -7n + nx + -1x)' equal to zero and attempt to solve: Simplifying 7 + -7n + nx + -1x = 0 Solving 7 + -7n + nx + -1x = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7n + nx + -7 + -1x = 0 + -7 Reorder the terms: 7 + -7 + -7n + nx + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7n + nx + -1x = 0 + -7 -7n + nx + -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -7n + nx + -1x = -7 Add 'x' to each side of the equation. -7n + nx + -1x + x = -7 + x Combine like terms: -1x + x = 0 -7n + nx + 0 = -7 + x -7n + nx = -7 + 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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