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Simplifying 2(r + -8) = -3r + 9 Reorder the terms: 2(-8 + r) = -3r + 9 (-8 * 2 + r * 2) = -3r + 9 (-16 + 2r) = -3r + 9 Reorder the terms: -16 + 2r = 9 + -3r Solving -16 + 2r = 9 + -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. -16 + 2r + 3r = 9 + -3r + 3r Combine like terms: 2r + 3r = 5r -16 + 5r = 9 + -3r + 3r Combine like terms: -3r + 3r = 0 -16 + 5r = 9 + 0 -16 + 5r = 9 Add '16' to each side of the equation. -16 + 16 + 5r = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 5r = 9 + 16 5r = 9 + 16 Combine like terms: 9 + 16 = 25 5r = 25 Divide each side by '5'. r = 5 Simplifying r = 5
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