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Simplifying 0.9 + -2(3r + 0.2) = 0 Reorder the terms: 0.9 + -2(0.2 + 3r) = 0 0.9 + (0.2 * -2 + 3r * -2) = 0 0.9 + (-0.4 + -6r) = 0 Combine like terms: 0.9 + -0.4 = 0.5 0.5 + -6r = 0 Solving 0.5 + -6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + -6r = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -6r = 0 + -0.5 -6r = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -6r = -0.5 Divide each side by '-6'. r = 0.08333333333 Simplifying r = 0.08333333333
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