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Simplifying 0.5(2r + 5) = -2r Reorder the terms: 0.5(5 + 2r) = -2r (5 * 0.5 + 2r * 0.5) = -2r (2.5 + 1r) = -2r Solving 2.5 + 1r = -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. 2.5 + 1r + 2r = -2r + 2r Combine like terms: 1r + 2r = 3r 2.5 + 3r = -2r + 2r Combine like terms: -2r + 2r = 0 2.5 + 3r = 0 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 3r = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 3r = 0 + -2.5 3r = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 3r = -2.5 Divide each side by '3'. r = -0.8333333333 Simplifying r = -0.8333333333
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