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Simplifying 4.2 = 9.2 + 3r + -7.1 Reorder the terms: 4.2 = 9.2 + -7.1 + 3r Combine like terms: 9.2 + -7.1 = 2.1 4.2 = 2.1 + 3r Solving 4.2 = 2.1 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 4.2 + -3r = 2.1 + 3r + -3r Combine like terms: 3r + -3r = 0 4.2 + -3r = 2.1 + 0 4.2 + -3r = 2.1 Add '-4.2' to each side of the equation. 4.2 + -4.2 + -3r = 2.1 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + -3r = 2.1 + -4.2 -3r = 2.1 + -4.2 Combine like terms: 2.1 + -4.2 = -2.1 -3r = -2.1 Divide each side by '-3'. r = 0.7 Simplifying r = 0.7
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