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Simplifying 4r + s + 7s + 3t + 8r = 0 Reorder the terms: 4r + 8r + s + 7s + 3t = 0 Combine like terms: 4r + 8r = 12r 12r + s + 7s + 3t = 0 Combine like terms: s + 7s = 8s 12r + 8s + 3t = 0 Solving 12r + 8s + 3t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8s' to each side of the equation. 12r + 8s + -8s + 3t = 0 + -8s Combine like terms: 8s + -8s = 0 12r + 0 + 3t = 0 + -8s 12r + 3t = 0 + -8s Remove the zero: 12r + 3t = -8s Add '-3t' to each side of the equation. 12r + 3t + -3t = -8s + -3t Combine like terms: 3t + -3t = 0 12r + 0 = -8s + -3t 12r = -8s + -3t Divide each side by '12'. r = -0.6666666667s + -0.25t Simplifying r = -0.6666666667s + -0.25t
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