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Simplifying 1.6r + 6 = 1.4r + 10 Reorder the terms: 6 + 1.6r = 1.4r + 10 Reorder the terms: 6 + 1.6r = 10 + 1.4r Solving 6 + 1.6r = 10 + 1.4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.4r' to each side of the equation. 6 + 1.6r + -1.4r = 10 + 1.4r + -1.4r Combine like terms: 1.6r + -1.4r = 0.2r 6 + 0.2r = 10 + 1.4r + -1.4r Combine like terms: 1.4r + -1.4r = 0.0 6 + 0.2r = 10 + 0.0 6 + 0.2r = 10 Add '-6' to each side of the equation. 6 + -6 + 0.2r = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 0.2r = 10 + -6 0.2r = 10 + -6 Combine like terms: 10 + -6 = 4 0.2r = 4 Divide each side by '0.2'. r = 20 Simplifying r = 20
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