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Simplifying 4(2x + -17) + 5(3r + -8) = 0 Reorder the terms: 4(-17 + 2x) + 5(3r + -8) = 0 (-17 * 4 + 2x * 4) + 5(3r + -8) = 0 (-68 + 8x) + 5(3r + -8) = 0 Reorder the terms: -68 + 8x + 5(-8 + 3r) = 0 -68 + 8x + (-8 * 5 + 3r * 5) = 0 -68 + 8x + (-40 + 15r) = 0 Reorder the terms: -68 + -40 + 15r + 8x = 0 Combine like terms: -68 + -40 = -108 -108 + 15r + 8x = 0 Solving -108 + 15r + 8x = 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 + 15r + 108 + 8x = 0 + 108 Reorder the terms: -108 + 108 + 15r + 8x = 0 + 108 Combine like terms: -108 + 108 = 0 0 + 15r + 8x = 0 + 108 15r + 8x = 0 + 108 Combine like terms: 0 + 108 = 108 15r + 8x = 108 Add '-8x' to each side of the equation. 15r + 8x + -8x = 108 + -8x Combine like terms: 8x + -8x = 0 15r + 0 = 108 + -8x 15r = 108 + -8x Divide each side by '15'. r = 7.2 + -0.5333333333x Simplifying r = 7.2 + -0.5333333333x
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