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Simplifying 0.9r + 5 = r + 1.2 Reorder the terms: 5 + 0.9r = r + 1.2 Reorder the terms: 5 + 0.9r = 1.2 + r Solving 5 + 0.9r = 1.2 + 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. 5 + 0.9r + -1r = 1.2 + r + -1r Combine like terms: 0.9r + -1r = -0.1r 5 + -0.1r = 1.2 + r + -1r Combine like terms: r + -1r = 0 5 + -0.1r = 1.2 + 0 5 + -0.1r = 1.2 Add '-5' to each side of the equation. 5 + -5 + -0.1r = 1.2 + -5 Combine like terms: 5 + -5 = 0 0 + -0.1r = 1.2 + -5 -0.1r = 1.2 + -5 Combine like terms: 1.2 + -5 = -3.8 -0.1r = -3.8 Divide each side by '-0.1'. r = 38 Simplifying r = 38
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