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Simplifying 4 = 6r + 7 + -7r Reorder the terms: 4 = 7 + 6r + -7r Combine like terms: 6r + -7r = -1r 4 = 7 + -1r Solving 4 = 7 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 4 + r = 7 + -1r + r Combine like terms: -1r + r = 0 4 + r = 7 + 0 4 + r = 7 Add '-4' to each side of the equation. 4 + -4 + r = 7 + -4 Combine like terms: 4 + -4 = 0 0 + r = 7 + -4 r = 7 + -4 Combine like terms: 7 + -4 = 3 r = 3 Simplifying r = 3
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