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Simplifying -13 + -3r + -5r = 2r + 7 Combine like terms: -3r + -5r = -8r -13 + -8r = 2r + 7 Reorder the terms: -13 + -8r = 7 + 2r Solving -13 + -8r = 7 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -13 + -8r + -2r = 7 + 2r + -2r Combine like terms: -8r + -2r = -10r -13 + -10r = 7 + 2r + -2r Combine like terms: 2r + -2r = 0 -13 + -10r = 7 + 0 -13 + -10r = 7 Add '13' to each side of the equation. -13 + 13 + -10r = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -10r = 7 + 13 -10r = 7 + 13 Combine like terms: 7 + 13 = 20 -10r = 20 Divide each side by '-10'. r = -2 Simplifying r = -2
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