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Simplifying 0.5 + 6 = 3 + -2r Combine like terms: 0.5 + 6 = 6.5 6.5 = 3 + -2r Solving 6.5 = 3 + -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. 6.5 + 2r = 3 + -2r + 2r Combine like terms: -2r + 2r = 0 6.5 + 2r = 3 + 0 6.5 + 2r = 3 Add '-6.5' to each side of the equation. 6.5 + -6.5 + 2r = 3 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 2r = 3 + -6.5 2r = 3 + -6.5 Combine like terms: 3 + -6.5 = -3.5 2r = -3.5 Divide each side by '2'. r = -1.75 Simplifying r = -1.75
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