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Simplifying -3r + 55 = 2r + 15 Reorder the terms: 55 + -3r = 2r + 15 Reorder the terms: 55 + -3r = 15 + 2r Solving 55 + -3r = 15 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 55 + -3r + -2r = 15 + 2r + -2r Combine like terms: -3r + -2r = -5r 55 + -5r = 15 + 2r + -2r Combine like terms: 2r + -2r = 0 55 + -5r = 15 + 0 55 + -5r = 15 Add '-55' to each side of the equation. 55 + -55 + -5r = 15 + -55 Combine like terms: 55 + -55 = 0 0 + -5r = 15 + -55 -5r = 15 + -55 Combine like terms: 15 + -55 = -40 -5r = -40 Divide each side by '-5'. r = 8 Simplifying r = 8
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