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Simplifying 7t + -7r = 2r + -12r + 3t Reorder the terms: -7r + 7t = 2r + -12r + 3t Combine like terms: 2r + -12r = -10r -7r + 7t = -10r + 3t Solving -7r + 7t = -10r + 3t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. -7r + 10r + 7t = -10r + 10r + 3t Combine like terms: -7r + 10r = 3r 3r + 7t = -10r + 10r + 3t Combine like terms: -10r + 10r = 0 3r + 7t = 0 + 3t 3r + 7t = 3t Add '-7t' to each side of the equation. 3r + 7t + -7t = 3t + -7t Combine like terms: 7t + -7t = 0 3r + 0 = 3t + -7t 3r = 3t + -7t Combine like terms: 3t + -7t = -4t 3r = -4t Divide each side by '3'. r = -1.333333333t Simplifying r = -1.333333333t
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