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Simplifying 0.4(r + 6) = 0.63 Reorder the terms: 0.4(6 + r) = 0.63 (6 * 0.4 + r * 0.4) = 0.63 (2.4 + 0.4r) = 0.63 Solving 2.4 + 0.4r = 0.63 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + -2.4 + 0.4r = 0.63 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.4r = 0.63 + -2.4 0.4r = 0.63 + -2.4 Combine like terms: 0.63 + -2.4 = -1.77 0.4r = -1.77 Divide each side by '0.4'. r = -4.425 Simplifying r = -4.425
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