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Simplifying 4(r + 1) + -4 = 7r + 24 Reorder the terms: 4(1 + r) + -4 = 7r + 24 (1 * 4 + r * 4) + -4 = 7r + 24 (4 + 4r) + -4 = 7r + 24 Reorder the terms: 4 + -4 + 4r = 7r + 24 Combine like terms: 4 + -4 = 0 0 + 4r = 7r + 24 4r = 7r + 24 Reorder the terms: 4r = 24 + 7r Solving 4r = 24 + 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. 4r + -7r = 24 + 7r + -7r Combine like terms: 4r + -7r = -3r -3r = 24 + 7r + -7r Combine like terms: 7r + -7r = 0 -3r = 24 + 0 -3r = 24 Divide each side by '-3'. r = -8 Simplifying r = -8
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