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Simplifying 3(7 + -8r) = 3(8 + -7r) (7 * 3 + -8r * 3) = 3(8 + -7r) (21 + -24r) = 3(8 + -7r) 21 + -24r = (8 * 3 + -7r * 3) 21 + -24r = (24 + -21r) Solving 21 + -24r = 24 + -21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '21r' to each side of the equation. 21 + -24r + 21r = 24 + -21r + 21r Combine like terms: -24r + 21r = -3r 21 + -3r = 24 + -21r + 21r Combine like terms: -21r + 21r = 0 21 + -3r = 24 + 0 21 + -3r = 24 Add '-21' to each side of the equation. 21 + -21 + -3r = 24 + -21 Combine like terms: 21 + -21 = 0 0 + -3r = 24 + -21 -3r = 24 + -21 Combine like terms: 24 + -21 = 3 -3r = 3 Divide each side by '-3'. r = -1 Simplifying r = -1
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