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Simplifying -14 + -3r + -5r = 2r + 6 Combine like terms: -3r + -5r = -8r -14 + -8r = 2r + 6 Reorder the terms: -14 + -8r = 6 + 2r Solving -14 + -8r = 6 + 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. -14 + -8r + -2r = 6 + 2r + -2r Combine like terms: -8r + -2r = -10r -14 + -10r = 6 + 2r + -2r Combine like terms: 2r + -2r = 0 -14 + -10r = 6 + 0 -14 + -10r = 6 Add '14' to each side of the equation. -14 + 14 + -10r = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -10r = 6 + 14 -10r = 6 + 14 Combine like terms: 6 + 14 = 20 -10r = 20 Divide each side by '-10'. r = -2 Simplifying r = -2
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