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Simplifying -3r + s + -1t + 3 = -4s + -4t + -5 Reorder the terms: 3 + -3r + s + -1t = -4s + -4t + -5 Reorder the terms: 3 + -3r + s + -1t = -5 + -4s + -4t Solving 3 + -3r + s + -1t = -5 + -4s + -4t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3r + s + -3 + -1t = -5 + -4s + -3 + -4t Reorder the terms: 3 + -3 + -3r + s + -1t = -5 + -4s + -3 + -4t Combine like terms: 3 + -3 = 0 0 + -3r + s + -1t = -5 + -4s + -3 + -4t -3r + s + -1t = -5 + -4s + -3 + -4t Reorder the terms: -3r + s + -1t = -5 + -3 + -4s + -4t Combine like terms: -5 + -3 = -8 -3r + s + -1t = -8 + -4s + -4t Add '-1s' to each side of the equation. -3r + s + -1s + -1t = -8 + -4s + -1s + -4t Combine like terms: s + -1s = 0 -3r + 0 + -1t = -8 + -4s + -1s + -4t -3r + -1t = -8 + -4s + -1s + -4t Combine like terms: -4s + -1s = -5s -3r + -1t = -8 + -5s + -4t Add 't' to each side of the equation. -3r + -1t + t = -8 + -5s + -4t + t Combine like terms: -1t + t = 0 -3r + 0 = -8 + -5s + -4t + t -3r = -8 + -5s + -4t + t Combine like terms: -4t + t = -3t -3r = -8 + -5s + -3t Divide each side by '-3'. r = 2.666666667 + 1.666666667s + t Simplifying r = 2.666666667 + 1.666666667s + t
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