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Simplifying 6r + -100 = 3r + 50 Reorder the terms: -100 + 6r = 3r + 50 Reorder the terms: -100 + 6r = 50 + 3r Solving -100 + 6r = 50 + 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. -100 + 6r + -3r = 50 + 3r + -3r Combine like terms: 6r + -3r = 3r -100 + 3r = 50 + 3r + -3r Combine like terms: 3r + -3r = 0 -100 + 3r = 50 + 0 -100 + 3r = 50 Add '100' to each side of the equation. -100 + 100 + 3r = 50 + 100 Combine like terms: -100 + 100 = 0 0 + 3r = 50 + 100 3r = 50 + 100 Combine like terms: 50 + 100 = 150 3r = 150 Divide each side by '3'. r = 50 Simplifying r = 50
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