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Simplifying r + (r + 14) + 2(r + -40) = 574 Reorder the terms: r + (14 + r) + 2(r + -40) = 574 Remove parenthesis around (14 + r) r + 14 + r + 2(r + -40) = 574 Reorder the terms: r + 14 + r + 2(-40 + r) = 574 r + 14 + r + (-40 * 2 + r * 2) = 574 r + 14 + r + (-80 + 2r) = 574 Reorder the terms: 14 + -80 + r + r + 2r = 574 Combine like terms: 14 + -80 = -66 -66 + r + r + 2r = 574 Combine like terms: r + r = 2r -66 + 2r + 2r = 574 Combine like terms: 2r + 2r = 4r -66 + 4r = 574 Solving -66 + 4r = 574 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + 4r = 574 + 66 Combine like terms: -66 + 66 = 0 0 + 4r = 574 + 66 4r = 574 + 66 Combine like terms: 574 + 66 = 640 4r = 640 Divide each side by '4'. r = 160 Simplifying r = 160
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