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Simplifying 4 + 18r + -1 = 6r + 78 + -3r Reorder the terms: 4 + -1 + 18r = 6r + 78 + -3r Combine like terms: 4 + -1 = 3 3 + 18r = 6r + 78 + -3r Reorder the terms: 3 + 18r = 78 + 6r + -3r Combine like terms: 6r + -3r = 3r 3 + 18r = 78 + 3r Solving 3 + 18r = 78 + 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. 3 + 18r + -3r = 78 + 3r + -3r Combine like terms: 18r + -3r = 15r 3 + 15r = 78 + 3r + -3r Combine like terms: 3r + -3r = 0 3 + 15r = 78 + 0 3 + 15r = 78 Add '-3' to each side of the equation. 3 + -3 + 15r = 78 + -3 Combine like terms: 3 + -3 = 0 0 + 15r = 78 + -3 15r = 78 + -3 Combine like terms: 78 + -3 = 75 15r = 75 Divide each side by '15'. r = 5 Simplifying r = 5
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