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Simplifying 1 + -2r = 10 + 4r + -7r Combine like terms: 4r + -7r = -3r 1 + -2r = 10 + -3r Solving 1 + -2r = 10 + -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 = 10 + -3r + 3r Combine like terms: -2r + 3r = 1r 1 + 1r = 10 + -3r + 3r Combine like terms: -3r + 3r = 0 1 + 1r = 10 + 0 1 + 1r = 10 Add '-1' to each side of the equation. 1 + -1 + 1r = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1r = 10 + -1 1r = 10 + -1 Combine like terms: 10 + -1 = 9 1r = 9 Divide each side by '1'. r = 9 Simplifying r = 9
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