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Simplifying 14 + 4r + -5r = 3r + -6 Combine like terms: 4r + -5r = -1r 14 + -1r = 3r + -6 Reorder the terms: 14 + -1r = -6 + 3r Solving 14 + -1r = -6 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 14 + -1r + -3r = -6 + 3r + -3r Combine like terms: -1r + -3r = -4r 14 + -4r = -6 + 3r + -3r Combine like terms: 3r + -3r = 0 14 + -4r = -6 + 0 14 + -4r = -6 Add '-14' to each side of the equation. 14 + -14 + -4r = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -4r = -6 + -14 -4r = -6 + -14 Combine like terms: -6 + -14 = -20 -4r = -20 Divide each side by '-4'. r = 5 Simplifying r = 5
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