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Simplifying -121 = -1 + -3(-7r + 5) Reorder the terms: -121 = -1 + -3(5 + -7r) -121 = -1 + (5 * -3 + -7r * -3) -121 = -1 + (-15 + 21r) Combine like terms: -1 + -15 = -16 -121 = -16 + 21r Solving -121 = -16 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. -121 + -21r = -16 + 21r + -21r Combine like terms: 21r + -21r = 0 -121 + -21r = -16 + 0 -121 + -21r = -16 Add '121' to each side of the equation. -121 + 121 + -21r = -16 + 121 Combine like terms: -121 + 121 = 0 0 + -21r = -16 + 121 -21r = -16 + 121 Combine like terms: -16 + 121 = 105 -21r = 105 Divide each side by '-21'. r = -5 Simplifying r = -5
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