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Simplifying 7r + -1(2r + 8) = 32 Reorder the terms: 7r + -1(8 + 2r) = 32 7r + (8 * -1 + 2r * -1) = 32 7r + (-8 + -2r) = 32 Reorder the terms: -8 + 7r + -2r = 32 Combine like terms: 7r + -2r = 5r -8 + 5r = 32 Solving -8 + 5r = 32 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5r = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 5r = 32 + 8 5r = 32 + 8 Combine like terms: 32 + 8 = 40 5r = 40 Divide each side by '5'. r = 8 Simplifying r = 8
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