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Simplifying 7 + 2r + -3 = 6r + 4 + -3r Reorder the terms: 7 + -3 + 2r = 6r + 4 + -3r Combine like terms: 7 + -3 = 4 4 + 2r = 6r + 4 + -3r Reorder the terms: 4 + 2r = 4 + 6r + -3r Combine like terms: 6r + -3r = 3r 4 + 2r = 4 + 3r Add '-4' to each side of the equation. 4 + -4 + 2r = 4 + -4 + 3r Combine like terms: 4 + -4 = 0 0 + 2r = 4 + -4 + 3r 2r = 4 + -4 + 3r Combine like terms: 4 + -4 = 0 2r = 0 + 3r 2r = 3r Solving 2r = 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. 2r + -3r = 3r + -3r Combine like terms: 2r + -3r = -1r -1r = 3r + -3r Combine like terms: 3r + -3r = 0 -1r = 0 Divide each side by '-1'. r = 0 Simplifying r = 0
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