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Simplifying -3(t + 6r) = 14 + -1r Reorder the terms: -3(6r + t) = 14 + -1r (6r * -3 + t * -3) = 14 + -1r (-18r + -3t) = 14 + -1r Solving -18r + -3t = 14 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -18r + r + -3t = 14 + -1r + r Combine like terms: -18r + r = -17r -17r + -3t = 14 + -1r + r Combine like terms: -1r + r = 0 -17r + -3t = 14 + 0 -17r + -3t = 14 Add '3t' to each side of the equation. -17r + -3t + 3t = 14 + 3t Combine like terms: -3t + 3t = 0 -17r + 0 = 14 + 3t -17r = 14 + 3t Divide each side by '-17'. r = -0.8235294118 + -0.1764705882t Simplifying r = -0.8235294118 + -0.1764705882t
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