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Simplifying 5t + 6 + -2r = 7t + -10 Reorder the terms: 6 + -2r + 5t = 7t + -10 Reorder the terms: 6 + -2r + 5t = -10 + 7t Solving 6 + -2r + 5t = -10 + 7t 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 + -2r + -6 + 5t = -10 + -6 + 7t Reorder the terms: 6 + -6 + -2r + 5t = -10 + -6 + 7t Combine like terms: 6 + -6 = 0 0 + -2r + 5t = -10 + -6 + 7t -2r + 5t = -10 + -6 + 7t Combine like terms: -10 + -6 = -16 -2r + 5t = -16 + 7t Add '-5t' to each side of the equation. -2r + 5t + -5t = -16 + 7t + -5t Combine like terms: 5t + -5t = 0 -2r + 0 = -16 + 7t + -5t -2r = -16 + 7t + -5t Combine like terms: 7t + -5t = 2t -2r = -16 + 2t Divide each side by '-2'. r = 8 + -1t Simplifying r = 8 + -1t
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