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Simplifying 3r + -6 = 5r + 16 Reorder the terms: -6 + 3r = 5r + 16 Reorder the terms: -6 + 3r = 16 + 5r Solving -6 + 3r = 16 + 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 + 3r + -5r = 16 + 5r + -5r Combine like terms: 3r + -5r = -2r -6 + -2r = 16 + 5r + -5r Combine like terms: 5r + -5r = 0 -6 + -2r = 16 + 0 -6 + -2r = 16 Add '6' to each side of the equation. -6 + 6 + -2r = 16 + 6 Combine like terms: -6 + 6 = 0 0 + -2r = 16 + 6 -2r = 16 + 6 Combine like terms: 16 + 6 = 22 -2r = 22 Divide each side by '-2'. r = -11 Simplifying r = -11
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