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Simplifying 0.5(10r + -12) = 32 Reorder the terms: 0.5(-12 + 10r) = 32 (-12 * 0.5 + 10r * 0.5) = 32 (-6 + 5r) = 32 Solving -6 + 5r = 32 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5r = 32 + 6 Combine like terms: -6 + 6 = 0 0 + 5r = 32 + 6 5r = 32 + 6 Combine like terms: 32 + 6 = 38 5r = 38 Divide each side by '5'. r = 7.6 Simplifying r = 7.6
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