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Simplifying -12r + -16 + 4r + 12 = -21 + 11 Reorder the terms: -16 + 12 + -12r + 4r = -21 + 11 Combine like terms: -16 + 12 = -4 -4 + -12r + 4r = -21 + 11 Combine like terms: -12r + 4r = -8r -4 + -8r = -21 + 11 Combine like terms: -21 + 11 = -10 -4 + -8r = -10 Solving -4 + -8r = -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 + -8r = -10 + 4 Combine like terms: -4 + 4 = 0 0 + -8r = -10 + 4 -8r = -10 + 4 Combine like terms: -10 + 4 = -6 -8r = -6 Divide each side by '-8'. r = 0.75 Simplifying r = 0.75
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