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Simplifying 117 = 3(r + 9) + 3xr Reorder the terms: 117 = 3(9 + r) + 3xr 117 = (9 * 3 + r * 3) + 3xr 117 = (27 + 3r) + 3xr Solving 117 = 27 + 3r + 3rx Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 117 + -3r = 27 + 3r + -3r + 3rx Combine like terms: 3r + -3r = 0 117 + -3r = 27 + 0 + 3rx 117 + -3r = 27 + 3rx Add '-3rx' to each side of the equation. 117 + -3r + -3rx = 27 + 3rx + -3rx Combine like terms: 3rx + -3rx = 0 117 + -3r + -3rx = 27 + 0 117 + -3r + -3rx = 27 Add '-117' to each side of the equation. 117 + -3r + -117 + -3rx = 27 + -117 Reorder the terms: 117 + -117 + -3r + -3rx = 27 + -117 Combine like terms: 117 + -117 = 0 0 + -3r + -3rx = 27 + -117 -3r + -3rx = 27 + -117 Combine like terms: 27 + -117 = -90 -3r + -3rx = -90 Reorder the terms: 90 + -3r + -3rx = -90 + 90 Combine like terms: -90 + 90 = 0 90 + -3r + -3rx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(30 + -1r + -1rx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(30 + -1r + -1rx)' equal to zero and attempt to solve: Simplifying 30 + -1r + -1rx = 0 Solving 30 + -1r + -1rx = 0 Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -1r + -30 + -1rx = 0 + -30 Reorder the terms: 30 + -30 + -1r + -1rx = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1r + -1rx = 0 + -30 -1r + -1rx = 0 + -30 Combine like terms: 0 + -30 = -30 -1r + -1rx = -30 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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