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Simplifying 3(4) + 3(2 + 7) = r(4 + 9) Multiply 3 * 4 12 + 3(2 + 7) = r(4 + 9) Combine like terms: 2 + 7 = 9 12 + 3(9) = r(4 + 9) Multiply 3 * 9 12 + 27 = r(4 + 9) Combine like terms: 12 + 27 = 39 39 = r(4 + 9) Combine like terms: 4 + 9 = 13 39 = r(13) Reorder the terms for easier multiplication: 39 = 13r Solving 39 = 13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13r' to each side of the equation. 39 + -13r = 13r + -13r Combine like terms: 13r + -13r = 0 39 + -13r = 0 Add '-39' to each side of the equation. 39 + -39 + -13r = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -13r = 0 + -39 -13r = 0 + -39 Combine like terms: 0 + -39 = -39 -13r = -39 Divide each side by '-13'. r = 3 Simplifying r = 3
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