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Simplifying 5t + -1(6 + -3r) = 2t + 18 5t + (6 * -1 + -3r * -1) = 2t + 18 5t + (-6 + 3r) = 2t + 18 Reorder the terms: -6 + 3r + 5t = 2t + 18 Reorder the terms: -6 + 3r + 5t = 18 + 2t Solving -6 + 3r + 5t = 18 + 2t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3r + 6 + 5t = 18 + 6 + 2t Reorder the terms: -6 + 6 + 3r + 5t = 18 + 6 + 2t Combine like terms: -6 + 6 = 0 0 + 3r + 5t = 18 + 6 + 2t 3r + 5t = 18 + 6 + 2t Combine like terms: 18 + 6 = 24 3r + 5t = 24 + 2t Add '-5t' to each side of the equation. 3r + 5t + -5t = 24 + 2t + -5t Combine like terms: 5t + -5t = 0 3r + 0 = 24 + 2t + -5t 3r = 24 + 2t + -5t Combine like terms: 2t + -5t = -3t 3r = 24 + -3t Divide each side by '3'. r = 8 + -1t Simplifying r = 8 + -1t
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