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Simplifying 24 = -5(r + -7) + -7(7 + 2r) Reorder the terms: 24 = -5(-7 + r) + -7(7 + 2r) 24 = (-7 * -5 + r * -5) + -7(7 + 2r) 24 = (35 + -5r) + -7(7 + 2r) 24 = 35 + -5r + (7 * -7 + 2r * -7) 24 = 35 + -5r + (-49 + -14r) Reorder the terms: 24 = 35 + -49 + -5r + -14r Combine like terms: 35 + -49 = -14 24 = -14 + -5r + -14r Combine like terms: -5r + -14r = -19r 24 = -14 + -19r Solving 24 = -14 + -19r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '19r' to each side of the equation. 24 + 19r = -14 + -19r + 19r Combine like terms: -19r + 19r = 0 24 + 19r = -14 + 0 24 + 19r = -14 Add '-24' to each side of the equation. 24 + -24 + 19r = -14 + -24 Combine like terms: 24 + -24 = 0 0 + 19r = -14 + -24 19r = -14 + -24 Combine like terms: -14 + -24 = -38 19r = -38 Divide each side by '19'. r = -2 Simplifying r = -2
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