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Simplifying 6(-2 + sr) + -6r = -180 (-2 * 6 + rs * 6) + -6r = -180 (-12 + 6rs) + -6r = -180 Reorder the terms: -12 + -6r + 6rs = -180 Solving -12 + -6r + 6rs = -180 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -6r + 12 + 6rs = -180 + 12 Reorder the terms: -12 + 12 + -6r + 6rs = -180 + 12 Combine like terms: -12 + 12 = 0 0 + -6r + 6rs = -180 + 12 -6r + 6rs = -180 + 12 Combine like terms: -180 + 12 = -168 -6r + 6rs = -168 Reorder the terms: 168 + -6r + 6rs = -168 + 168 Combine like terms: -168 + 168 = 0 168 + -6r + 6rs = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(28 + -1r + rs) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(28 + -1r + rs)' equal to zero and attempt to solve: Simplifying 28 + -1r + rs = 0 Solving 28 + -1r + rs = 0 Move all terms containing r to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -1r + -28 + rs = 0 + -28 Reorder the terms: 28 + -28 + -1r + rs = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1r + rs = 0 + -28 -1r + rs = 0 + -28 Combine like terms: 0 + -28 = -28 -1r + rs = -28 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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