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Simplifying 2[3r + 4] + -3[r + 1] = 11 Reorder the terms: 2[4 + 3r] + -3[r + 1] = 11 [4 * 2 + 3r * 2] + -3[r + 1] = 11 [8 + 6r] + -3[r + 1] = 11 Reorder the terms: 8 + 6r + -3[1 + r] = 11 8 + 6r + [1 * -3 + r * -3] = 11 8 + 6r + [-3 + -3r] = 11 Reorder the terms: 8 + -3 + 6r + -3r = 11 Combine like terms: 8 + -3 = 5 5 + 6r + -3r = 11 Combine like terms: 6r + -3r = 3r 5 + 3r = 11 Solving 5 + 3r = 11 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3r = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 3r = 11 + -5 3r = 11 + -5 Combine like terms: 11 + -5 = 6 3r = 6 Divide each side by '3'. r = 2 Simplifying r = 2
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