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Simplifying 9(r + -5) = 3x(r + -5) Reorder the terms: 9(-5 + r) = 3x(r + -5) (-5 * 9 + r * 9) = 3x(r + -5) (-45 + 9r) = 3x(r + -5) Reorder the terms: -45 + 9r = 3x(-5 + r) -45 + 9r = (-5 * 3x + r * 3x) Reorder the terms: -45 + 9r = (3rx + -15x) -45 + 9r = (3rx + -15x) Solving -45 + 9r = 3rx + -15x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3rx' to each side of the equation. -45 + 9r + -3rx = 3rx + -3rx + -15x Combine like terms: 3rx + -3rx = 0 -45 + 9r + -3rx = 0 + -15x -45 + 9r + -3rx = -15x Add '45' to each side of the equation. -45 + 9r + 45 + -3rx = 45 + -15x Reorder the terms: -45 + 45 + 9r + -3rx = 45 + -15x Combine like terms: -45 + 45 = 0 0 + 9r + -3rx = 45 + -15x 9r + -3rx = 45 + -15x Reorder the terms: -45 + 9r + -3rx + 15x = 45 + -15x + -45 + 15x Reorder the terms: -45 + 9r + -3rx + 15x = 45 + -45 + -15x + 15x Combine like terms: 45 + -45 = 0 -45 + 9r + -3rx + 15x = 0 + -15x + 15x -45 + 9r + -3rx + 15x = -15x + 15x Combine like terms: -15x + 15x = 0 -45 + 9r + -3rx + 15x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-15 + 3r + -1rx + 5x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-15 + 3r + -1rx + 5x)' equal to zero and attempt to solve: Simplifying -15 + 3r + -1rx + 5x = 0 Solving -15 + 3r + -1rx + 5x = 0 Move all terms containing r to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 3r + -1rx + 15 + 5x = 0 + 15 Reorder the terms: -15 + 15 + 3r + -1rx + 5x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 3r + -1rx + 5x = 0 + 15 3r + -1rx + 5x = 0 + 15 Combine like terms: 0 + 15 = 15 3r + -1rx + 5x = 15 Add '-5x' to each side of the equation. 3r + -1rx + 5x + -5x = 15 + -5x Combine like terms: 5x + -5x = 0 3r + -1rx + 0 = 15 + -5x 3r + -1rx = 15 + -5x 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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