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Simplifying 5r + 10 = -10 + 7r Reorder the terms: 10 + 5r = -10 + 7r Solving 10 + 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. 10 + 5r + -7r = -10 + 7r + -7r Combine like terms: 5r + -7r = -2r 10 + -2r = -10 + 7r + -7r Combine like terms: 7r + -7r = 0 10 + -2r = -10 + 0 10 + -2r = -10 Add '-10' to each side of the equation. 10 + -10 + -2r = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -2r = -10 + -10 -2r = -10 + -10 Combine like terms: -10 + -10 = -20 -2r = -20 Divide each side by '-2'. r = 10 Simplifying r = 10
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