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Simplifying 5r + 7(2r + 6) = 8r + -24 Reorder the terms: 5r + 7(6 + 2r) = 8r + -24 5r + (6 * 7 + 2r * 7) = 8r + -24 5r + (42 + 14r) = 8r + -24 Reorder the terms: 42 + 5r + 14r = 8r + -24 Combine like terms: 5r + 14r = 19r 42 + 19r = 8r + -24 Reorder the terms: 42 + 19r = -24 + 8r Solving 42 + 19r = -24 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 42 + 19r + -8r = -24 + 8r + -8r Combine like terms: 19r + -8r = 11r 42 + 11r = -24 + 8r + -8r Combine like terms: 8r + -8r = 0 42 + 11r = -24 + 0 42 + 11r = -24 Add '-42' to each side of the equation. 42 + -42 + 11r = -24 + -42 Combine like terms: 42 + -42 = 0 0 + 11r = -24 + -42 11r = -24 + -42 Combine like terms: -24 + -42 = -66 11r = -66 Divide each side by '11'. r = -6 Simplifying r = -6
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