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Simplifying 0.5(r + -12) = 0.6r Reorder the terms: 0.5(-12 + r) = 0.6r (-12 * 0.5 + r * 0.5) = 0.6r (-6 + 0.5r) = 0.6r Solving -6 + 0.5r = 0.6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.6r' to each side of the equation. -6 + 0.5r + -0.6r = 0.6r + -0.6r Combine like terms: 0.5r + -0.6r = -0.1r -6 + -0.1r = 0.6r + -0.6r Combine like terms: 0.6r + -0.6r = 0.0 -6 + -0.1r = 0.0 Add '6' to each side of the equation. -6 + 6 + -0.1r = 0.0 + 6 Combine like terms: -6 + 6 = 0 0 + -0.1r = 0.0 + 6 -0.1r = 0.0 + 6 Combine like terms: 0.0 + 6 = 6 -0.1r = 6 Divide each side by '-0.1'. r = -60 Simplifying r = -60
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