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Simplifying 24 + -3r = -1(7r + 4) Reorder the terms: 24 + -3r = -1(4 + 7r) 24 + -3r = (4 * -1 + 7r * -1) 24 + -3r = (-4 + -7r) Solving 24 + -3r = -4 + -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 + -3r + 7r = -4 + -7r + 7r Combine like terms: -3r + 7r = 4r 24 + 4r = -4 + -7r + 7r Combine like terms: -7r + 7r = 0 24 + 4r = -4 + 0 24 + 4r = -4 Add '-24' to each side of the equation. 24 + -24 + 4r = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 4r = -4 + -24 4r = -4 + -24 Combine like terms: -4 + -24 = -28 4r = -28 Divide each side by '4'. r = -7 Simplifying r = -7
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