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Simplifying 2r + -6 + 5t = 3 + -1r + 7 Reorder the terms: -6 + 2r + 5t = 3 + -1r + 7 Reorder the terms: -6 + 2r + 5t = 3 + 7 + -1r Combine like terms: 3 + 7 = 10 -6 + 2r + 5t = 10 + -1r Solving -6 + 2r + 5t = 10 + -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. -6 + 2r + r + 5t = 10 + -1r + r Combine like terms: 2r + r = 3r -6 + 3r + 5t = 10 + -1r + r Combine like terms: -1r + r = 0 -6 + 3r + 5t = 10 + 0 -6 + 3r + 5t = 10 Add '6' to each side of the equation. -6 + 3r + 6 + 5t = 10 + 6 Reorder the terms: -6 + 6 + 3r + 5t = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 3r + 5t = 10 + 6 3r + 5t = 10 + 6 Combine like terms: 10 + 6 = 16 3r + 5t = 16 Add '-5t' to each side of the equation. 3r + 5t + -5t = 16 + -5t Combine like terms: 5t + -5t = 0 3r + 0 = 16 + -5t 3r = 16 + -5t Divide each side by '3'. r = 5.333333333 + -1.666666667t Simplifying r = 5.333333333 + -1.666666667t
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