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Simplifying 5 + 10r + -3 = 7r + 56 + -3r Reorder the terms: 5 + -3 + 10r = 7r + 56 + -3r Combine like terms: 5 + -3 = 2 2 + 10r = 7r + 56 + -3r Reorder the terms: 2 + 10r = 56 + 7r + -3r Combine like terms: 7r + -3r = 4r 2 + 10r = 56 + 4r Solving 2 + 10r = 56 + 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. 2 + 10r + -4r = 56 + 4r + -4r Combine like terms: 10r + -4r = 6r 2 + 6r = 56 + 4r + -4r Combine like terms: 4r + -4r = 0 2 + 6r = 56 + 0 2 + 6r = 56 Add '-2' to each side of the equation. 2 + -2 + 6r = 56 + -2 Combine like terms: 2 + -2 = 0 0 + 6r = 56 + -2 6r = 56 + -2 Combine like terms: 56 + -2 = 54 6r = 54 Divide each side by '6'. r = 9 Simplifying r = 9
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