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Simplifying -3r + -8 + 7t = 34 + 9t + -2 Reorder the terms: -8 + -3r + 7t = 34 + 9t + -2 Reorder the terms: -8 + -3r + 7t = 34 + -2 + 9t Combine like terms: 34 + -2 = 32 -8 + -3r + 7t = 32 + 9t Solving -8 + -3r + 7t = 32 + 9t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -3r + 8 + 7t = 32 + 8 + 9t Reorder the terms: -8 + 8 + -3r + 7t = 32 + 8 + 9t Combine like terms: -8 + 8 = 0 0 + -3r + 7t = 32 + 8 + 9t -3r + 7t = 32 + 8 + 9t Combine like terms: 32 + 8 = 40 -3r + 7t = 40 + 9t Add '-7t' to each side of the equation. -3r + 7t + -7t = 40 + 9t + -7t Combine like terms: 7t + -7t = 0 -3r + 0 = 40 + 9t + -7t -3r = 40 + 9t + -7t Combine like terms: 9t + -7t = 2t -3r = 40 + 2t Divide each side by '-3'. r = -13.33333333 + -0.6666666667t Simplifying r = -13.33333333 + -0.6666666667t
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