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Simplifying 0.5(12r + -3) = 0 Reorder the terms: 0.5(-3 + 12r) = 0 (-3 * 0.5 + 12r * 0.5) = 0 (-1.5 + 6r) = 0 Solving -1.5 + 6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + 6r = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 6r = 0 + 1.5 6r = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 6r = 1.5 Divide each side by '6'. r = 0.25 Simplifying r = 0.25
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