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Simplifying 5r + 6 + -2 = 7r + -10 Reorder the terms: 6 + -2 + 5r = 7r + -10 Combine like terms: 6 + -2 = 4 4 + 5r = 7r + -10 Reorder the terms: 4 + 5r = -10 + 7r Solving 4 + 5r = -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. 4 + 5r + -7r = -10 + 7r + -7r Combine like terms: 5r + -7r = -2r 4 + -2r = -10 + 7r + -7r Combine like terms: 7r + -7r = 0 4 + -2r = -10 + 0 4 + -2r = -10 Add '-4' to each side of the equation. 4 + -4 + -2r = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -2r = -10 + -4 -2r = -10 + -4 Combine like terms: -10 + -4 = -14 -2r = -14 Divide each side by '-2'. r = 7 Simplifying r = 7
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