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Simplifying 0.285(3r + 4) = 10 Reorder the terms: 0.285(4 + 3r) = 10 (4 * 0.285 + 3r * 0.285) = 10 (1.14 + 0.855r) = 10 Solving 1.14 + 0.855r = 10 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.14' to each side of the equation. 1.14 + -1.14 + 0.855r = 10 + -1.14 Combine like terms: 1.14 + -1.14 = 0.00 0.00 + 0.855r = 10 + -1.14 0.855r = 10 + -1.14 Combine like terms: 10 + -1.14 = 8.86 0.855r = 8.86 Divide each side by '0.855'. r = 10.3625731 Simplifying r = 10.3625731
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