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Simplifying 2(10r + -7) + -2(1 + -10r) = -1r + 2r Reorder the terms: 2(-7 + 10r) + -2(1 + -10r) = -1r + 2r (-7 * 2 + 10r * 2) + -2(1 + -10r) = -1r + 2r (-14 + 20r) + -2(1 + -10r) = -1r + 2r -14 + 20r + (1 * -2 + -10r * -2) = -1r + 2r -14 + 20r + (-2 + 20r) = -1r + 2r Reorder the terms: -14 + -2 + 20r + 20r = -1r + 2r Combine like terms: -14 + -2 = -16 -16 + 20r + 20r = -1r + 2r Combine like terms: 20r + 20r = 40r -16 + 40r = -1r + 2r Combine like terms: -1r + 2r = 1r -16 + 40r = 1r Solving -16 + 40r = 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -16 + 40r + -1r = 1r + -1r Combine like terms: 40r + -1r = 39r -16 + 39r = 1r + -1r Combine like terms: 1r + -1r = 0 -16 + 39r = 0 Add '16' to each side of the equation. -16 + 16 + 39r = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 39r = 0 + 16 39r = 0 + 16 Combine like terms: 0 + 16 = 16 39r = 16 Divide each side by '39'. r = 0.4102564103 Simplifying r = 0.4102564103
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