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Simplifying 5[2r + 8] = 27 + -3r Reorder the terms: 5[8 + 2r] = 27 + -3r [8 * 5 + 2r * 5] = 27 + -3r [40 + 10r] = 27 + -3r Solving 40 + 10r = 27 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 40 + 10r + 3r = 27 + -3r + 3r Combine like terms: 10r + 3r = 13r 40 + 13r = 27 + -3r + 3r Combine like terms: -3r + 3r = 0 40 + 13r = 27 + 0 40 + 13r = 27 Add '-40' to each side of the equation. 40 + -40 + 13r = 27 + -40 Combine like terms: 40 + -40 = 0 0 + 13r = 27 + -40 13r = 27 + -40 Combine like terms: 27 + -40 = -13 13r = -13 Divide each side by '13'. r = -1 Simplifying r = -1
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