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Simplifying 2r + 1 = 3(2r + 3) Reorder the terms: 1 + 2r = 3(2r + 3) Reorder the terms: 1 + 2r = 3(3 + 2r) 1 + 2r = (3 * 3 + 2r * 3) 1 + 2r = (9 + 6r) Solving 1 + 2r = 9 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 1 + 2r + -6r = 9 + 6r + -6r Combine like terms: 2r + -6r = -4r 1 + -4r = 9 + 6r + -6r Combine like terms: 6r + -6r = 0 1 + -4r = 9 + 0 1 + -4r = 9 Add '-1' to each side of the equation. 1 + -1 + -4r = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -4r = 9 + -1 -4r = 9 + -1 Combine like terms: 9 + -1 = 8 -4r = 8 Divide each side by '-4'. r = -2 Simplifying r = -2
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