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Simplifying 1.6 = 0.4(4 + r) 1.6 = (4 * 0.4 + r * 0.4) 1.6 = (1.6 + 0.4r) Add '-1.6' to each side of the equation. 1.6 + -1.6 = 1.6 + -1.6 + 0.4r Combine like terms: 1.6 + -1.6 = 0.0 0.0 = 1.6 + -1.6 + 0.4r Combine like terms: 1.6 + -1.6 = 0.0 0.0 = 0.0 + 0.4r 0.0 = 0.4r Solving 0.0 = 0.4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.4r' to each side of the equation. 0.0 + -0.4r = 0.4r + -0.4r Remove the zero: -0.4r = 0.4r + -0.4r Combine like terms: 0.4r + -0.4r = 0.0 -0.4r = 0.0 Divide each side by '-0.4'. r = 0 Simplifying r = 0
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