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Simplifying 8(r + -7t) + 8(t + 6r) = 0 (r * 8 + -7t * 8) + 8(t + 6r) = 0 (8r + -56t) + 8(t + 6r) = 0 Reorder the terms: 8r + -56t + 8(6r + t) = 0 8r + -56t + (6r * 8 + t * 8) = 0 8r + -56t + (48r + 8t) = 0 Reorder the terms: 8r + 48r + -56t + 8t = 0 Combine like terms: 8r + 48r = 56r 56r + -56t + 8t = 0 Combine like terms: -56t + 8t = -48t 56r + -48t = 0 Solving 56r + -48t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '48t' to each side of the equation. 56r + -48t + 48t = 0 + 48t Combine like terms: -48t + 48t = 0 56r + 0 = 0 + 48t 56r = 0 + 48t Remove the zero: 56r = 48t Divide each side by '56'. r = 0.8571428571t Simplifying r = 0.8571428571t
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