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Simplifying -6 + 5(-4 + r) = -5r + 24 -6 + (-4 * 5 + r * 5) = -5r + 24 -6 + (-20 + 5r) = -5r + 24 Combine like terms: -6 + -20 = -26 -26 + 5r = -5r + 24 Reorder the terms: -26 + 5r = 24 + -5r Solving -26 + 5r = 24 + -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. -26 + 5r + 5r = 24 + -5r + 5r Combine like terms: 5r + 5r = 10r -26 + 10r = 24 + -5r + 5r Combine like terms: -5r + 5r = 0 -26 + 10r = 24 + 0 -26 + 10r = 24 Add '26' to each side of the equation. -26 + 26 + 10r = 24 + 26 Combine like terms: -26 + 26 = 0 0 + 10r = 24 + 26 10r = 24 + 26 Combine like terms: 24 + 26 = 50 10r = 50 Divide each side by '10'. r = 5 Simplifying r = 5
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