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Simplifying -122 = -7 + 5(1 + 6r) -122 = -7 + (1 * 5 + 6r * 5) -122 = -7 + (5 + 30r) Combine like terms: -7 + 5 = -2 -122 = -2 + 30r Solving -122 = -2 + 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. -122 + -30r = -2 + 30r + -30r Combine like terms: 30r + -30r = 0 -122 + -30r = -2 + 0 -122 + -30r = -2 Add '122' to each side of the equation. -122 + 122 + -30r = -2 + 122 Combine like terms: -122 + 122 = 0 0 + -30r = -2 + 122 -30r = -2 + 122 Combine like terms: -2 + 122 = 120 -30r = 120 Divide each side by '-30'. r = -4 Simplifying r = -4
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