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Simplifying 5(2r + -17) + 5(3r + -8) = 0 Reorder the terms: 5(-17 + 2r) + 5(3r + -8) = 0 (-17 * 5 + 2r * 5) + 5(3r + -8) = 0 (-85 + 10r) + 5(3r + -8) = 0 Reorder the terms: -85 + 10r + 5(-8 + 3r) = 0 -85 + 10r + (-8 * 5 + 3r * 5) = 0 -85 + 10r + (-40 + 15r) = 0 Reorder the terms: -85 + -40 + 10r + 15r = 0 Combine like terms: -85 + -40 = -125 -125 + 10r + 15r = 0 Combine like terms: 10r + 15r = 25r -125 + 25r = 0 Solving -125 + 25r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + 25r = 0 + 125 Combine like terms: -125 + 125 = 0 0 + 25r = 0 + 125 25r = 0 + 125 Combine like terms: 0 + 125 = 125 25r = 125 Divide each side by '25'. r = 5 Simplifying r = 5
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