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Simplifying 2700 = r(3) + 2r(3) Reorder the terms for easier multiplication: 2700 = 3r + 2r(3) Reorder the terms for easier multiplication: 2700 = 3r + 2 * 3r Multiply 2 * 3 2700 = 3r + 6r Combine like terms: 3r + 6r = 9r 2700 = 9r Solving 2700 = 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 2700 + -9r = 9r + -9r Combine like terms: 9r + -9r = 0 2700 + -9r = 0 Add '-2700' to each side of the equation. 2700 + -2700 + -9r = 0 + -2700 Combine like terms: 2700 + -2700 = 0 0 + -9r = 0 + -2700 -9r = 0 + -2700 Combine like terms: 0 + -2700 = -2700 -9r = -2700 Divide each side by '-9'. r = 300 Simplifying r = 300
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