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Simplifying 2r + 11 = 5 + -2(3r + 3) Reorder the terms: 11 + 2r = 5 + -2(3r + 3) Reorder the terms: 11 + 2r = 5 + -2(3 + 3r) 11 + 2r = 5 + (3 * -2 + 3r * -2) 11 + 2r = 5 + (-6 + -6r) Combine like terms: 5 + -6 = -1 11 + 2r = -1 + -6r Solving 11 + 2r = -1 + -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. 11 + 2r + 6r = -1 + -6r + 6r Combine like terms: 2r + 6r = 8r 11 + 8r = -1 + -6r + 6r Combine like terms: -6r + 6r = 0 11 + 8r = -1 + 0 11 + 8r = -1 Add '-11' to each side of the equation. 11 + -11 + 8r = -1 + -11 Combine like terms: 11 + -11 = 0 0 + 8r = -1 + -11 8r = -1 + -11 Combine like terms: -1 + -11 = -12 8r = -12 Divide each side by '8'. r = -1.5 Simplifying r = -1.5
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