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Simplifying 100 + 4r = 20 + 2r + -5 Reorder the terms: 100 + 4r = 20 + -5 + 2r Combine like terms: 20 + -5 = 15 100 + 4r = 15 + 2r Solving 100 + 4r = 15 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 100 + 4r + -2r = 15 + 2r + -2r Combine like terms: 4r + -2r = 2r 100 + 2r = 15 + 2r + -2r Combine like terms: 2r + -2r = 0 100 + 2r = 15 + 0 100 + 2r = 15 Add '-100' to each side of the equation. 100 + -100 + 2r = 15 + -100 Combine like terms: 100 + -100 = 0 0 + 2r = 15 + -100 2r = 15 + -100 Combine like terms: 15 + -100 = -85 2r = -85 Divide each side by '2'. r = -42.5 Simplifying r = -42.5
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