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Simplifying 8(r + -1) = -23 + 3r Reorder the terms: 8(-1 + r) = -23 + 3r (-1 * 8 + r * 8) = -23 + 3r (-8 + 8r) = -23 + 3r Solving -8 + 8r = -23 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -8 + 8r + -3r = -23 + 3r + -3r Combine like terms: 8r + -3r = 5r -8 + 5r = -23 + 3r + -3r Combine like terms: 3r + -3r = 0 -8 + 5r = -23 + 0 -8 + 5r = -23 Add '8' to each side of the equation. -8 + 8 + 5r = -23 + 8 Combine like terms: -8 + 8 = 0 0 + 5r = -23 + 8 5r = -23 + 8 Combine like terms: -23 + 8 = -15 5r = -15 Divide each side by '5'. r = -3 Simplifying r = -3
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