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