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Simplifying 30 + 8r = 7(1 + -1r) + -8r 30 + 8r = (1 * 7 + -1r * 7) + -8r 30 + 8r = (7 + -7r) + -8r Combine like terms: -7r + -8r = -15r 30 + 8r = 7 + -15r Solving 30 + 8r = 7 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. 30 + 8r + 15r = 7 + -15r + 15r Combine like terms: 8r + 15r = 23r 30 + 23r = 7 + -15r + 15r Combine like terms: -15r + 15r = 0 30 + 23r = 7 + 0 30 + 23r = 7 Add '-30' to each side of the equation. 30 + -30 + 23r = 7 + -30 Combine like terms: 30 + -30 = 0 0 + 23r = 7 + -30 23r = 7 + -30 Combine like terms: 7 + -30 = -23 23r = -23 Divide each side by '23'. r = -1 Simplifying r = -1
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