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Simplifying r + -3s + -3t + -4r + 10s + 8t = 0 Reorder the terms: r + -4r + -3s + 10s + -3t + 8t = 0 Combine like terms: r + -4r = -3r -3r + -3s + 10s + -3t + 8t = 0 Combine like terms: -3s + 10s = 7s -3r + 7s + -3t + 8t = 0 Combine like terms: -3t + 8t = 5t -3r + 7s + 5t = 0 Solving -3r + 7s + 5t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7s' to each side of the equation. -3r + 7s + -7s + 5t = 0 + -7s Combine like terms: 7s + -7s = 0 -3r + 0 + 5t = 0 + -7s -3r + 5t = 0 + -7s Remove the zero: -3r + 5t = -7s Add '-5t' to each side of the equation. -3r + 5t + -5t = -7s + -5t Combine like terms: 5t + -5t = 0 -3r + 0 = -7s + -5t -3r = -7s + -5t Divide each side by '-3'. r = 2.333333333s + 1.666666667t Simplifying r = 2.333333333s + 1.666666667t
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