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Simplifying 6(r + -4) = -5r + 31 Reorder the terms: 6(-4 + r) = -5r + 31 (-4 * 6 + r * 6) = -5r + 31 (-24 + 6r) = -5r + 31 Reorder the terms: -24 + 6r = 31 + -5r Solving -24 + 6r = 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. -24 + 6r + 5r = 31 + -5r + 5r Combine like terms: 6r + 5r = 11r -24 + 11r = 31 + -5r + 5r Combine like terms: -5r + 5r = 0 -24 + 11r = 31 + 0 -24 + 11r = 31 Add '24' to each side of the equation. -24 + 24 + 11r = 31 + 24 Combine like terms: -24 + 24 = 0 0 + 11r = 31 + 24 11r = 31 + 24 Combine like terms: 31 + 24 = 55 11r = 55 Divide each side by '11'. r = 5 Simplifying r = 5
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