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