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Simplifying 5 + 2r + -4 = 6r + 4 + -3r Reorder the terms: 5 + -4 + 2r = 6r + 4 + -3r Combine like terms: 5 + -4 = 1 1 + 2r = 6r + 4 + -3r Reorder the terms: 1 + 2r = 4 + 6r + -3r Combine like terms: 6r + -3r = 3r 1 + 2r = 4 + 3r Solving 1 + 2r = 4 + 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. 1 + 2r + -3r = 4 + 3r + -3r Combine like terms: 2r + -3r = -1r 1 + -1r = 4 + 3r + -3r Combine like terms: 3r + -3r = 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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