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Simplifying 2(2 + -1r) = 14 + -8(2r + 5) (2 * 2 + -1r * 2) = 14 + -8(2r + 5) (4 + -2r) = 14 + -8(2r + 5) Reorder the terms: 4 + -2r = 14 + -8(5 + 2r) 4 + -2r = 14 + (5 * -8 + 2r * -8) 4 + -2r = 14 + (-40 + -16r) Combine like terms: 14 + -40 = -26 4 + -2r = -26 + -16r Solving 4 + -2r = -26 + -16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16r' to each side of the equation. 4 + -2r + 16r = -26 + -16r + 16r Combine like terms: -2r + 16r = 14r 4 + 14r = -26 + -16r + 16r Combine like terms: -16r + 16r = 0 4 + 14r = -26 + 0 4 + 14r = -26 Add '-4' to each side of the equation. 4 + -4 + 14r = -26 + -4 Combine like terms: 4 + -4 = 0 0 + 14r = -26 + -4 14r = -26 + -4 Combine like terms: -26 + -4 = -30 14r = -30 Divide each side by '14'. r = -2.142857143 Simplifying r = -2.142857143
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