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Simplifying 8(3 + 5r) + 8r = -22 + 2r (3 * 8 + 5r * 8) + 8r = -22 + 2r (24 + 40r) + 8r = -22 + 2r Combine like terms: 40r + 8r = 48r 24 + 48r = -22 + 2r Solving 24 + 48r = -22 + 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. 24 + 48r + -2r = -22 + 2r + -2r Combine like terms: 48r + -2r = 46r 24 + 46r = -22 + 2r + -2r Combine like terms: 2r + -2r = 0 24 + 46r = -22 + 0 24 + 46r = -22 Add '-24' to each side of the equation. 24 + -24 + 46r = -22 + -24 Combine like terms: 24 + -24 = 0 0 + 46r = -22 + -24 46r = -22 + -24 Combine like terms: -22 + -24 = -46 46r = -46 Divide each side by '46'. r = -1 Simplifying r = -1
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