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Simplifying 6 + 3r + -5 = 7r + 4 + -3r Reorder the terms: 6 + -5 + 3r = 7r + 4 + -3r Combine like terms: 6 + -5 = 1 1 + 3r = 7r + 4 + -3r Reorder the terms: 1 + 3r = 4 + 7r + -3r Combine like terms: 7r + -3r = 4r 1 + 3r = 4 + 4r Solving 1 + 3r = 4 + 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. 1 + 3r + -4r = 4 + 4r + -4r Combine like terms: 3r + -4r = -1r 1 + -1r = 4 + 4r + -4r Combine like terms: 4r + -4r = 0 1 + -1r = 4 + 0 1 + -1r = 4 Add '-1' to each side of the equation. 1 + -1 + -1r = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -1r = 4 + -1 -1r = 4 + -1 Combine like terms: 4 + -1 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3
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