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Simplifying 10 + 3r = -4r + 5r Combine like terms: -4r + 5r = 1r 10 + 3r = 1r Solving 10 + 3r = 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 10 + 3r + -1r = 1r + -1r Combine like terms: 3r + -1r = 2r 10 + 2r = 1r + -1r Combine like terms: 1r + -1r = 0 10 + 2r = 0 Add '-10' to each side of the equation. 10 + -10 + 2r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2r = 0 + -10 2r = 0 + -10 Combine like terms: 0 + -10 = -10 2r = -10 Divide each side by '2'. r = -5 Simplifying r = -5
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