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Simplifying 2r + 6 = 5r + -45 Reorder the terms: 6 + 2r = 5r + -45 Reorder the terms: 6 + 2r = -45 + 5r Solving 6 + 2r = -45 + 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. 6 + 2r + -5r = -45 + 5r + -5r Combine like terms: 2r + -5r = -3r 6 + -3r = -45 + 5r + -5r Combine like terms: 5r + -5r = 0 6 + -3r = -45 + 0 6 + -3r = -45 Add '-6' to each side of the equation. 6 + -6 + -3r = -45 + -6 Combine like terms: 6 + -6 = 0 0 + -3r = -45 + -6 -3r = -45 + -6 Combine like terms: -45 + -6 = -51 -3r = -51 Divide each side by '-3'. r = 17 Simplifying r = 17
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