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Simplifying -7r + 6t + -1s + -5r + 12s + 4t + -6t + 5s + -11r = 0 Reorder the terms: -7r + -5r + -11r + -1s + 12s + 5s + 6t + 4t + -6t = 0 Combine like terms: -7r + -5r = -12r -12r + -11r + -1s + 12s + 5s + 6t + 4t + -6t = 0 Combine like terms: -12r + -11r = -23r -23r + -1s + 12s + 5s + 6t + 4t + -6t = 0 Combine like terms: -1s + 12s = 11s -23r + 11s + 5s + 6t + 4t + -6t = 0 Combine like terms: 11s + 5s = 16s -23r + 16s + 6t + 4t + -6t = 0 Combine like terms: 6t + 4t = 10t -23r + 16s + 10t + -6t = 0 Combine like terms: 10t + -6t = 4t -23r + 16s + 4t = 0 Solving -23r + 16s + 4t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16s' to each side of the equation. -23r + 16s + -16s + 4t = 0 + -16s Combine like terms: 16s + -16s = 0 -23r + 0 + 4t = 0 + -16s -23r + 4t = 0 + -16s Remove the zero: -23r + 4t = -16s Add '-4t' to each side of the equation. -23r + 4t + -4t = -16s + -4t Combine like terms: 4t + -4t = 0 -23r + 0 = -16s + -4t -23r = -16s + -4t Divide each side by '-23'. r = 0.6956521739s + 0.1739130435t Simplifying r = 0.6956521739s + 0.1739130435t
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