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Simplifying 4s + 3s + 2r + 9 + 7r + 4t = 0 Reorder the terms: 9 + 2r + 7r + 4s + 3s + 4t = 0 Combine like terms: 2r + 7r = 9r 9 + 9r + 4s + 3s + 4t = 0 Combine like terms: 4s + 3s = 7s 9 + 9r + 7s + 4t = 0 Solving 9 + 9r + 7s + 4t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 9r + 7s + -9 + 4t = 0 + -9 Reorder the terms: 9 + -9 + 9r + 7s + 4t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9r + 7s + 4t = 0 + -9 9r + 7s + 4t = 0 + -9 Combine like terms: 0 + -9 = -9 9r + 7s + 4t = -9 Add '-7s' to each side of the equation. 9r + 7s + -7s + 4t = -9 + -7s Combine like terms: 7s + -7s = 0 9r + 0 + 4t = -9 + -7s 9r + 4t = -9 + -7s Add '-4t' to each side of the equation. 9r + 4t + -4t = -9 + -7s + -4t Combine like terms: 4t + -4t = 0 9r + 0 = -9 + -7s + -4t 9r = -9 + -7s + -4t Divide each side by '9'. r = -1 + -0.7777777778s + -0.4444444444t Simplifying r = -1 + -0.7777777778s + -0.4444444444t
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