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Simplifying 0.3r + 0.6 = 0.2r + -1(-0.4) Reorder the terms: 0.6 + 0.3r = 0.2r + -1(-0.4) Multiply -1 * -0.4 0.6 + 0.3r = 0.2r + 0.4 Reorder the terms: 0.6 + 0.3r = 0.4 + 0.2r Solving 0.6 + 0.3r = 0.4 + 0.2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.2r' to each side of the equation. 0.6 + 0.3r + -0.2r = 0.4 + 0.2r + -0.2r Combine like terms: 0.3r + -0.2r = 0.1r 0.6 + 0.1r = 0.4 + 0.2r + -0.2r Combine like terms: 0.2r + -0.2r = 0.0 0.6 + 0.1r = 0.4 + 0.0 0.6 + 0.1r = 0.4 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.1r = 0.4 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.1r = 0.4 + -0.6 0.1r = 0.4 + -0.6 Combine like terms: 0.4 + -0.6 = -0.2 0.1r = -0.2 Divide each side by '0.1'. r = -2 Simplifying r = -2
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