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Simplifying -2(3r + 1) = 11r + -2(4 + 7r) Reorder the terms: -2(1 + 3r) = 11r + -2(4 + 7r) (1 * -2 + 3r * -2) = 11r + -2(4 + 7r) (-2 + -6r) = 11r + -2(4 + 7r) -2 + -6r = 11r + (4 * -2 + 7r * -2) -2 + -6r = 11r + (-8 + -14r) Reorder the terms: -2 + -6r = -8 + 11r + -14r Combine like terms: 11r + -14r = -3r -2 + -6r = -8 + -3r Solving -2 + -6r = -8 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -2 + -6r + 3r = -8 + -3r + 3r Combine like terms: -6r + 3r = -3r -2 + -3r = -8 + -3r + 3r Combine like terms: -3r + 3r = 0 -2 + -3r = -8 + 0 -2 + -3r = -8 Add '2' to each side of the equation. -2 + 2 + -3r = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -3r = -8 + 2 -3r = -8 + 2 Combine like terms: -8 + 2 = -6 -3r = -6 Divide each side by '-3'. r = 2 Simplifying r = 2
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