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Simplifying -7 + 5r = 83 + -10r Solving -7 + 5r = 83 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. -7 + 5r + 10r = 83 + -10r + 10r Combine like terms: 5r + 10r = 15r -7 + 15r = 83 + -10r + 10r Combine like terms: -10r + 10r = 0 -7 + 15r = 83 + 0 -7 + 15r = 83 Add '7' to each side of the equation. -7 + 7 + 15r = 83 + 7 Combine like terms: -7 + 7 = 0 0 + 15r = 83 + 7 15r = 83 + 7 Combine like terms: 83 + 7 = 90 15r = 90 Divide each side by '15'. r = 6 Simplifying r = 6
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