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Simplifying 0.4 = r + 4.6 Reorder the terms: 0.4 = 4.6 + r Solving 0.4 = 4.6 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 0.4 + -1r = 4.6 + r + -1r Combine like terms: r + -1r = 0 0.4 + -1r = 4.6 + 0 0.4 + -1r = 4.6 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -1r = 4.6 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -1r = 4.6 + -0.4 -1r = 4.6 + -0.4 Combine like terms: 4.6 + -0.4 = 4.2 -1r = 4.2 Divide each side by '-1'. r = -4.2 Simplifying r = -4.2
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