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Simplifying -12r + -16 + 14r + 12 = -21 + 11 Reorder the terms: -16 + 12 + -12r + 14r = -21 + 11 Combine like terms: -16 + 12 = -4 -4 + -12r + 14r = -21 + 11 Combine like terms: -12r + 14r = 2r -4 + 2r = -21 + 11 Combine like terms: -21 + 11 = -10 -4 + 2r = -10 Solving -4 + 2r = -10 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2r = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 2r = -10 + 4 2r = -10 + 4 Combine like terms: -10 + 4 = -6 2r = -6 Divide each side by '2'. r = -3 Simplifying r = -3
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