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Simplifying 27 + -13r + 32 + -2t + 10t = 0 Reorder the terms: 27 + 32 + -13r + -2t + 10t = 0 Combine like terms: 27 + 32 = 59 59 + -13r + -2t + 10t = 0 Combine like terms: -2t + 10t = 8t 59 + -13r + 8t = 0 Solving 59 + -13r + 8t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -13r + -59 + 8t = 0 + -59 Reorder the terms: 59 + -59 + -13r + 8t = 0 + -59 Combine like terms: 59 + -59 = 0 0 + -13r + 8t = 0 + -59 -13r + 8t = 0 + -59 Combine like terms: 0 + -59 = -59 -13r + 8t = -59 Add '-8t' to each side of the equation. -13r + 8t + -8t = -59 + -8t Combine like terms: 8t + -8t = 0 -13r + 0 = -59 + -8t -13r = -59 + -8t Divide each side by '-13'. r = 4.538461538 + 0.6153846154t Simplifying r = 4.538461538 + 0.6153846154t
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