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Simplifying -7r + 6t + -8s + -5r + 12s + 4t + -1t + 2s + -1r = 0 Reorder the terms: -7r + -5r + -1r + -8s + 12s + 2s + 6t + 4t + -1t = 0 Combine like terms: -7r + -5r = -12r -12r + -1r + -8s + 12s + 2s + 6t + 4t + -1t = 0 Combine like terms: -12r + -1r = -13r -13r + -8s + 12s + 2s + 6t + 4t + -1t = 0 Combine like terms: -8s + 12s = 4s -13r + 4s + 2s + 6t + 4t + -1t = 0 Combine like terms: 4s + 2s = 6s -13r + 6s + 6t + 4t + -1t = 0 Combine like terms: 6t + 4t = 10t -13r + 6s + 10t + -1t = 0 Combine like terms: 10t + -1t = 9t -13r + 6s + 9t = 0 Solving -13r + 6s + 9t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6s' to each side of the equation. -13r + 6s + -6s + 9t = 0 + -6s Combine like terms: 6s + -6s = 0 -13r + 0 + 9t = 0 + -6s -13r + 9t = 0 + -6s Remove the zero: -13r + 9t = -6s Add '-9t' to each side of the equation. -13r + 9t + -9t = -6s + -9t Combine like terms: 9t + -9t = 0 -13r + 0 = -6s + -9t -13r = -6s + -9t Divide each side by '-13'. r = 0.4615384615s + 0.6923076923t Simplifying r = 0.4615384615s + 0.6923076923t
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