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Simplifying 8(r + 3) = 7(2 + -1r) Reorder the terms: 8(3 + r) = 7(2 + -1r) (3 * 8 + r * 8) = 7(2 + -1r) (24 + 8r) = 7(2 + -1r) 24 + 8r = (2 * 7 + -1r * 7) 24 + 8r = (14 + -7r) Solving 24 + 8r = 14 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 24 + 8r + 7r = 14 + -7r + 7r Combine like terms: 8r + 7r = 15r 24 + 15r = 14 + -7r + 7r Combine like terms: -7r + 7r = 0 24 + 15r = 14 + 0 24 + 15r = 14 Add '-24' to each side of the equation. 24 + -24 + 15r = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 15r = 14 + -24 15r = 14 + -24 Combine like terms: 14 + -24 = -10 15r = -10 Divide each side by '15'. r = -0.6666666667 Simplifying r = -0.6666666667
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