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Simplifying 5r + 6 + -2r = 7r + -10 Reorder the terms: 6 + 5r + -2r = 7r + -10 Combine like terms: 5r + -2r = 3r 6 + 3r = 7r + -10 Reorder the terms: 6 + 3r = -10 + 7r Solving 6 + 3r = -10 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 6 + 3r + -7r = -10 + 7r + -7r Combine like terms: 3r + -7r = -4r 6 + -4r = -10 + 7r + -7r Combine like terms: 7r + -7r = 0 6 + -4r = -10 + 0 6 + -4r = -10 Add '-6' to each side of the equation. 6 + -6 + -4r = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -4r = -10 + -6 -4r = -10 + -6 Combine like terms: -10 + -6 = -16 -4r = -16 Divide each side by '-4'. r = 4 Simplifying r = 4
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