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Simplifying 4r + -16 = 5r + -31 Reorder the terms: -16 + 4r = 5r + -31 Reorder the terms: -16 + 4r = -31 + 5r Solving -16 + 4r = -31 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -16 + 4r + -5r = -31 + 5r + -5r Combine like terms: 4r + -5r = -1r -16 + -1r = -31 + 5r + -5r Combine like terms: 5r + -5r = 0 -16 + -1r = -31 + 0 -16 + -1r = -31 Add '16' to each side of the equation. -16 + 16 + -1r = -31 + 16 Combine like terms: -16 + 16 = 0 0 + -1r = -31 + 16 -1r = -31 + 16 Combine like terms: -31 + 16 = -15 -1r = -15 Divide each side by '-1'. r = 15 Simplifying r = 15
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