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Simplifying 5r + 3 = 4(2r + 3) Reorder the terms: 3 + 5r = 4(2r + 3) Reorder the terms: 3 + 5r = 4(3 + 2r) 3 + 5r = (3 * 4 + 2r * 4) 3 + 5r = (12 + 8r) Solving 3 + 5r = 12 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 3 + 5r + -8r = 12 + 8r + -8r Combine like terms: 5r + -8r = -3r 3 + -3r = 12 + 8r + -8r Combine like terms: 8r + -8r = 0 3 + -3r = 12 + 0 3 + -3r = 12 Add '-3' to each side of the equation. 3 + -3 + -3r = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -3r = 12 + -3 -3r = 12 + -3 Combine like terms: 12 + -3 = 9 -3r = 9 Divide each side by '-3'. r = -3 Simplifying r = -3
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