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Simplifying 4r + 31 = -1(2r + -1) Reorder the terms: 31 + 4r = -1(2r + -1) Reorder the terms: 31 + 4r = -1(-1 + 2r) 31 + 4r = (-1 * -1 + 2r * -1) 31 + 4r = (1 + -2r) Solving 31 + 4r = 1 + -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. 31 + 4r + 2r = 1 + -2r + 2r Combine like terms: 4r + 2r = 6r 31 + 6r = 1 + -2r + 2r Combine like terms: -2r + 2r = 0 31 + 6r = 1 + 0 31 + 6r = 1 Add '-31' to each side of the equation. 31 + -31 + 6r = 1 + -31 Combine like terms: 31 + -31 = 0 0 + 6r = 1 + -31 6r = 1 + -31 Combine like terms: 1 + -31 = -30 6r = -30 Divide each side by '6'. r = -5 Simplifying r = -5
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