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Simplifying 31 + -7r = -6r + -4(1 + -1r) 31 + -7r = -6r + (1 * -4 + -1r * -4) 31 + -7r = -6r + (-4 + 4r) Reorder the terms: 31 + -7r = -4 + -6r + 4r Combine like terms: -6r + 4r = -2r 31 + -7r = -4 + -2r Solving 31 + -7r = -4 + -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 + -7r + 2r = -4 + -2r + 2r Combine like terms: -7r + 2r = -5r 31 + -5r = -4 + -2r + 2r Combine like terms: -2r + 2r = 0 31 + -5r = -4 + 0 31 + -5r = -4 Add '-31' to each side of the equation. 31 + -31 + -5r = -4 + -31 Combine like terms: 31 + -31 = 0 0 + -5r = -4 + -31 -5r = -4 + -31 Combine like terms: -4 + -31 = -35 -5r = -35 Divide each side by '-5'. r = 7 Simplifying r = 7
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