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Simplifying -7r + 3t + -1s + -1r + 12s + 4t + -1t + 5s + -11r = 0 Reorder the terms: -7r + -1r + -11r + -1s + 12s + 5s + 3t + 4t + -1t = 0 Combine like terms: -7r + -1r = -8r -8r + -11r + -1s + 12s + 5s + 3t + 4t + -1t = 0 Combine like terms: -8r + -11r = -19r -19r + -1s + 12s + 5s + 3t + 4t + -1t = 0 Combine like terms: -1s + 12s = 11s -19r + 11s + 5s + 3t + 4t + -1t = 0 Combine like terms: 11s + 5s = 16s -19r + 16s + 3t + 4t + -1t = 0 Combine like terms: 3t + 4t = 7t -19r + 16s + 7t + -1t = 0 Combine like terms: 7t + -1t = 6t -19r + 16s + 6t = 0 Solving -19r + 16s + 6t = 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. -19r + 16s + -16s + 6t = 0 + -16s Combine like terms: 16s + -16s = 0 -19r + 0 + 6t = 0 + -16s -19r + 6t = 0 + -16s Remove the zero: -19r + 6t = -16s Add '-6t' to each side of the equation. -19r + 6t + -6t = -16s + -6t Combine like terms: 6t + -6t = 0 -19r + 0 = -16s + -6t -19r = -16s + -6t Divide each side by '-19'. r = 0.8421052632s + 0.3157894737t Simplifying r = 0.8421052632s + 0.3157894737t
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