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Simplifying 3r + -24 = -3 + 4(1 + 7r) Reorder the terms: -24 + 3r = -3 + 4(1 + 7r) -24 + 3r = -3 + (1 * 4 + 7r * 4) -24 + 3r = -3 + (4 + 28r) Combine like terms: -3 + 4 = 1 -24 + 3r = 1 + 28r Solving -24 + 3r = 1 + 28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28r' to each side of the equation. -24 + 3r + -28r = 1 + 28r + -28r Combine like terms: 3r + -28r = -25r -24 + -25r = 1 + 28r + -28r Combine like terms: 28r + -28r = 0 -24 + -25r = 1 + 0 -24 + -25r = 1 Add '24' to each side of the equation. -24 + 24 + -25r = 1 + 24 Combine like terms: -24 + 24 = 0 0 + -25r = 1 + 24 -25r = 1 + 24 Combine like terms: 1 + 24 = 25 -25r = 25 Divide each side by '-25'. r = -1 Simplifying r = -1
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