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Simplifying 31 = -2 + 4(r + 7) Reorder the terms: 31 = -2 + 4(7 + r) 31 = -2 + (7 * 4 + r * 4) 31 = -2 + (28 + 4r) Combine like terms: -2 + 28 = 26 31 = 26 + 4r Solving 31 = 26 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 31 + -4r = 26 + 4r + -4r Combine like terms: 4r + -4r = 0 31 + -4r = 26 + 0 31 + -4r = 26 Add '-31' to each side of the equation. 31 + -31 + -4r = 26 + -31 Combine like terms: 31 + -31 = 0 0 + -4r = 26 + -31 -4r = 26 + -31 Combine like terms: 26 + -31 = -5 -4r = -5 Divide each side by '-4'. r = 1.25 Simplifying r = 1.25
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