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Simplifying 10r + -2r + 7 = -8 + -7r Reorder the terms: 7 + 10r + -2r = -8 + -7r Combine like terms: 10r + -2r = 8r 7 + 8r = -8 + -7r Solving 7 + 8r = -8 + -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. 7 + 8r + 7r = -8 + -7r + 7r Combine like terms: 8r + 7r = 15r 7 + 15r = -8 + -7r + 7r Combine like terms: -7r + 7r = 0 7 + 15r = -8 + 0 7 + 15r = -8 Add '-7' to each side of the equation. 7 + -7 + 15r = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 15r = -8 + -7 15r = -8 + -7 Combine like terms: -8 + -7 = -15 15r = -15 Divide each side by '15'. r = -1 Simplifying r = -1
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