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