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Simplifying 4(x + -1r) = 2x + 10r Reorder the terms: 4(-1r + x) = 2x + 10r (-1r * 4 + x * 4) = 2x + 10r (-4r + 4x) = 2x + 10r Reorder the terms: -4r + 4x = 10r + 2x Solving -4r + 4x = 10r + 2x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -4r + -10r + 4x = 10r + -10r + 2x Combine like terms: -4r + -10r = -14r -14r + 4x = 10r + -10r + 2x Combine like terms: 10r + -10r = 0 -14r + 4x = 0 + 2x -14r + 4x = 2x Add '-4x' to each side of the equation. -14r + 4x + -4x = 2x + -4x Combine like terms: 4x + -4x = 0 -14r + 0 = 2x + -4x -14r = 2x + -4x Combine like terms: 2x + -4x = -2x -14r = -2x Divide each side by '-14'. r = 0.1428571429x Simplifying r = 0.1428571429x
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