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Simplifying 1r + 6 + -5r = 14 + -2r Reorder the terms: 6 + 1r + -5r = 14 + -2r Combine like terms: 1r + -5r = -4r 6 + -4r = 14 + -2r Solving 6 + -4r = 14 + -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. 6 + -4r + 2r = 14 + -2r + 2r Combine like terms: -4r + 2r = -2r 6 + -2r = 14 + -2r + 2r Combine like terms: -2r + 2r = 0 6 + -2r = 14 + 0 6 + -2r = 14 Add '-6' to each side of the equation. 6 + -6 + -2r = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -2r = 14 + -6 -2r = 14 + -6 Combine like terms: 14 + -6 = 8 -2r = 8 Divide each side by '-2'. r = -4 Simplifying r = -4
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