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Simplifying 2r + 6 = 5(r + 3) Reorder the terms: 6 + 2r = 5(r + 3) Reorder the terms: 6 + 2r = 5(3 + r) 6 + 2r = (3 * 5 + r * 5) 6 + 2r = (15 + 5r) Solving 6 + 2r = 15 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 6 + 2r + -5r = 15 + 5r + -5r Combine like terms: 2r + -5r = -3r 6 + -3r = 15 + 5r + -5r Combine like terms: 5r + -5r = 0 6 + -3r = 15 + 0 6 + -3r = 15 Add '-6' to each side of the equation. 6 + -6 + -3r = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -3r = 15 + -6 -3r = 15 + -6 Combine like terms: 15 + -6 = 9 -3r = 9 Divide each side by '-3'. r = -3 Simplifying r = -3
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