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Simplifying 24 + 3r = 7(-7r + -4) Reorder the terms: 24 + 3r = 7(-4 + -7r) 24 + 3r = (-4 * 7 + -7r * 7) 24 + 3r = (-28 + -49r) Solving 24 + 3r = -28 + -49r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '49r' to each side of the equation. 24 + 3r + 49r = -28 + -49r + 49r Combine like terms: 3r + 49r = 52r 24 + 52r = -28 + -49r + 49r Combine like terms: -49r + 49r = 0 24 + 52r = -28 + 0 24 + 52r = -28 Add '-24' to each side of the equation. 24 + -24 + 52r = -28 + -24 Combine like terms: 24 + -24 = 0 0 + 52r = -28 + -24 52r = -28 + -24 Combine like terms: -28 + -24 = -52 52r = -52 Divide each side by '52'. r = -1 Simplifying r = -1
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