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Simplifying -329 = 7(1 + -6r) -329 = (1 * 7 + -6r * 7) -329 = (7 + -42r) Solving -329 = 7 + -42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '42r' to each side of the equation. -329 + 42r = 7 + -42r + 42r Combine like terms: -42r + 42r = 0 -329 + 42r = 7 + 0 -329 + 42r = 7 Add '329' to each side of the equation. -329 + 329 + 42r = 7 + 329 Combine like terms: -329 + 329 = 0 0 + 42r = 7 + 329 42r = 7 + 329 Combine like terms: 7 + 329 = 336 42r = 336 Divide each side by '42'. r = 8 Simplifying r = 8
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