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Simplifying 12r + -1(r + 1) = 21 Reorder the terms: 12r + -1(1 + r) = 21 12r + (1 * -1 + r * -1) = 21 12r + (-1 + -1r) = 21 Reorder the terms: -1 + 12r + -1r = 21 Combine like terms: 12r + -1r = 11r -1 + 11r = 21 Solving -1 + 11r = 21 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 11r = 21 + 1 Combine like terms: -1 + 1 = 0 0 + 11r = 21 + 1 11r = 21 + 1 Combine like terms: 21 + 1 = 22 11r = 22 Divide each side by '11'. r = 2 Simplifying r = 2
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