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Simplifying 3(r + 3) = 7r + 49 Reorder the terms: 3(3 + r) = 7r + 49 (3 * 3 + r * 3) = 7r + 49 (9 + 3r) = 7r + 49 Reorder the terms: 9 + 3r = 49 + 7r Solving 9 + 3r = 49 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 9 + 3r + -7r = 49 + 7r + -7r Combine like terms: 3r + -7r = -4r 9 + -4r = 49 + 7r + -7r Combine like terms: 7r + -7r = 0 9 + -4r = 49 + 0 9 + -4r = 49 Add '-9' to each side of the equation. 9 + -9 + -4r = 49 + -9 Combine like terms: 9 + -9 = 0 0 + -4r = 49 + -9 -4r = 49 + -9 Combine like terms: 49 + -9 = 40 -4r = 40 Divide each side by '-4'. r = -10 Simplifying r = -10
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