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Simplifying 550 = 6r + 6x(r + -20) Reorder the terms: 550 = 6r + 6x(-20 + r) 550 = 6r + (-20 * 6x + r * 6x) Reorder the terms: 550 = 6r + (6rx + -120x) 550 = 6r + (6rx + -120x) Solving 550 = 6r + 6rx + -120x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 550 + -6r = 6r + 6rx + -6r + -120x Reorder the terms: 550 + -6r = 6r + -6r + 6rx + -120x Combine like terms: 6r + -6r = 0 550 + -6r = 0 + 6rx + -120x 550 + -6r = 6rx + -120x Add '-6rx' to each side of the equation. 550 + -6r + -6rx = 6rx + -6rx + -120x Combine like terms: 6rx + -6rx = 0 550 + -6r + -6rx = 0 + -120x 550 + -6r + -6rx = -120x Add '-550' to each side of the equation. 550 + -6r + -550 + -6rx = -550 + -120x Reorder the terms: 550 + -550 + -6r + -6rx = -550 + -120x Combine like terms: 550 + -550 = 0 0 + -6r + -6rx = -550 + -120x -6r + -6rx = -550 + -120x Reorder the terms: 550 + -6r + -6rx + 120x = -550 + -120x + 550 + 120x Reorder the terms: 550 + -6r + -6rx + 120x = -550 + 550 + -120x + 120x Combine like terms: -550 + 550 = 0 550 + -6r + -6rx + 120x = 0 + -120x + 120x 550 + -6r + -6rx + 120x = -120x + 120x Combine like terms: -120x + 120x = 0 550 + -6r + -6rx + 120x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(275 + -3r + -3rx + 60x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(275 + -3r + -3rx + 60x)' equal to zero and attempt to solve: Simplifying 275 + -3r + -3rx + 60x = 0 Solving 275 + -3r + -3rx + 60x = 0 Move all terms containing r to the left, all other terms to the right. Add '-275' to each side of the equation. 275 + -3r + -3rx + -275 + 60x = 0 + -275 Reorder the terms: 275 + -275 + -3r + -3rx + 60x = 0 + -275 Combine like terms: 275 + -275 = 0 0 + -3r + -3rx + 60x = 0 + -275 -3r + -3rx + 60x = 0 + -275 Combine like terms: 0 + -275 = -275 -3r + -3rx + 60x = -275 Add '-60x' to each side of the equation. -3r + -3rx + 60x + -60x = -275 + -60x Combine like terms: 60x + -60x = 0 -3r + -3rx + 0 = -275 + -60x -3r + -3rx = -275 + -60x 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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