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Simplifying (-8 + 5r) + -1(6 + -4r) + 2(-3 + r) = 2 Remove parenthesis around (-8 + 5r) -8 + 5r + -1(6 + -4r) + 2(-3 + r) = 2 -8 + 5r + (6 * -1 + -4r * -1) + 2(-3 + r) = 2 -8 + 5r + (-6 + 4r) + 2(-3 + r) = 2 -8 + 5r + -6 + 4r + (-3 * 2 + r * 2) = 2 -8 + 5r + -6 + 4r + (-6 + 2r) = 2 Reorder the terms: -8 + -6 + -6 + 5r + 4r + 2r = 2 Combine like terms: -8 + -6 = -14 -14 + -6 + 5r + 4r + 2r = 2 Combine like terms: -14 + -6 = -20 -20 + 5r + 4r + 2r = 2 Combine like terms: 5r + 4r = 9r -20 + 9r + 2r = 2 Combine like terms: 9r + 2r = 11r -20 + 11r = 2 Solving -20 + 11r = 2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 11r = 2 + 20 Combine like terms: -20 + 20 = 0 0 + 11r = 2 + 20 11r = 2 + 20 Combine like terms: 2 + 20 = 22 11r = 22 Divide each side by '11'. r = 2 Simplifying r = 2
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