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Simplifying 22 + r = 2 + -3(1 + -8r) 22 + r = 2 + (1 * -3 + -8r * -3) 22 + r = 2 + (-3 + 24r) Combine like terms: 2 + -3 = -1 22 + r = -1 + 24r Solving 22 + r = -1 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 22 + r + -24r = -1 + 24r + -24r Combine like terms: r + -24r = -23r 22 + -23r = -1 + 24r + -24r Combine like terms: 24r + -24r = 0 22 + -23r = -1 + 0 22 + -23r = -1 Add '-22' to each side of the equation. 22 + -22 + -23r = -1 + -22 Combine like terms: 22 + -22 = 0 0 + -23r = -1 + -22 -23r = -1 + -22 Combine like terms: -1 + -22 = -23 -23r = -23 Divide each side by '-23'. r = 1 Simplifying r = 1
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