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Simplifying 4(2r + -17) + 5(3r + -8) = 0 Reorder the terms: 4(-17 + 2r) + 5(3r + -8) = 0 (-17 * 4 + 2r * 4) + 5(3r + -8) = 0 (-68 + 8r) + 5(3r + -8) = 0 Reorder the terms: -68 + 8r + 5(-8 + 3r) = 0 -68 + 8r + (-8 * 5 + 3r * 5) = 0 -68 + 8r + (-40 + 15r) = 0 Reorder the terms: -68 + -40 + 8r + 15r = 0 Combine like terms: -68 + -40 = -108 -108 + 8r + 15r = 0 Combine like terms: 8r + 15r = 23r -108 + 23r = 0 Solving -108 + 23r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '108' to each side of the equation. -108 + 108 + 23r = 0 + 108 Combine like terms: -108 + 108 = 0 0 + 23r = 0 + 108 23r = 0 + 108 Combine like terms: 0 + 108 = 108 23r = 108 Divide each side by '23'. r = 4.695652174 Simplifying r = 4.695652174
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