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Simplifying 2(5 + -5r) + 2(1 + -2r) = -4r + -8r (5 * 2 + -5r * 2) + 2(1 + -2r) = -4r + -8r (10 + -10r) + 2(1 + -2r) = -4r + -8r 10 + -10r + (1 * 2 + -2r * 2) = -4r + -8r 10 + -10r + (2 + -4r) = -4r + -8r Reorder the terms: 10 + 2 + -10r + -4r = -4r + -8r Combine like terms: 10 + 2 = 12 12 + -10r + -4r = -4r + -8r Combine like terms: -10r + -4r = -14r 12 + -14r = -4r + -8r Combine like terms: -4r + -8r = -12r 12 + -14r = -12r Solving 12 + -14r = -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. 12 + -14r + 12r = -12r + 12r Combine like terms: -14r + 12r = -2r 12 + -2r = -12r + 12r Combine like terms: -12r + 12r = 0 12 + -2r = 0 Add '-12' to each side of the equation. 12 + -12 + -2r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2r = 0 + -12 -2r = 0 + -12 Combine like terms: 0 + -12 = -12 -2r = -12 Divide each side by '-2'. r = 6 Simplifying r = 6
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