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Simplifying -3(-1r + s) + -2(4t + -7s) = 0 (-1r * -3 + s * -3) + -2(4t + -7s) = 0 (3r + -3s) + -2(4t + -7s) = 0 Reorder the terms: 3r + -3s + -2(-7s + 4t) = 0 3r + -3s + (-7s * -2 + 4t * -2) = 0 3r + -3s + (14s + -8t) = 0 Combine like terms: -3s + 14s = 11s 3r + 11s + -8t = 0 Solving 3r + 11s + -8t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11s' to each side of the equation. 3r + 11s + -11s + -8t = 0 + -11s Combine like terms: 11s + -11s = 0 3r + 0 + -8t = 0 + -11s 3r + -8t = 0 + -11s Remove the zero: 3r + -8t = -11s Add '8t' to each side of the equation. 3r + -8t + 8t = -11s + 8t Combine like terms: -8t + 8t = 0 3r + 0 = -11s + 8t 3r = -11s + 8t Divide each side by '3'. r = -3.666666667s + 2.666666667t Simplifying r = -3.666666667s + 2.666666667t
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