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Simplifying 14 + -2r + -1 + -7r = -4r + 8r Reorder the terms: 14 + -1 + -2r + -7r = -4r + 8r Combine like terms: 14 + -1 = 13 13 + -2r + -7r = -4r + 8r Combine like terms: -2r + -7r = -9r 13 + -9r = -4r + 8r Combine like terms: -4r + 8r = 4r 13 + -9r = 4r Solving 13 + -9r = 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 13 + -9r + -4r = 4r + -4r Combine like terms: -9r + -4r = -13r 13 + -13r = 4r + -4r Combine like terms: 4r + -4r = 0 13 + -13r = 0 Add '-13' to each side of the equation. 13 + -13 + -13r = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -13r = 0 + -13 -13r = 0 + -13 Combine like terms: 0 + -13 = -13 -13r = -13 Divide each side by '-13'. r = 1 Simplifying r = 1
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