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Simplifying 7r + 1 = -2r + 73 Reorder the terms: 1 + 7r = -2r + 73 Reorder the terms: 1 + 7r = 73 + -2r Solving 1 + 7r = 73 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 1 + 7r + 2r = 73 + -2r + 2r Combine like terms: 7r + 2r = 9r 1 + 9r = 73 + -2r + 2r Combine like terms: -2r + 2r = 0 1 + 9r = 73 + 0 1 + 9r = 73 Add '-1' to each side of the equation. 1 + -1 + 9r = 73 + -1 Combine like terms: 1 + -1 = 0 0 + 9r = 73 + -1 9r = 73 + -1 Combine like terms: 73 + -1 = 72 9r = 72 Divide each side by '9'. r = 8 Simplifying r = 8
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