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Simplifying -7(-2r + 2) + -2(r + 5) = 6r + 5r Reorder the terms: -7(2 + -2r) + -2(r + 5) = 6r + 5r (2 * -7 + -2r * -7) + -2(r + 5) = 6r + 5r (-14 + 14r) + -2(r + 5) = 6r + 5r Reorder the terms: -14 + 14r + -2(5 + r) = 6r + 5r -14 + 14r + (5 * -2 + r * -2) = 6r + 5r -14 + 14r + (-10 + -2r) = 6r + 5r Reorder the terms: -14 + -10 + 14r + -2r = 6r + 5r Combine like terms: -14 + -10 = -24 -24 + 14r + -2r = 6r + 5r Combine like terms: 14r + -2r = 12r -24 + 12r = 6r + 5r Combine like terms: 6r + 5r = 11r -24 + 12r = 11r Solving -24 + 12r = 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. -24 + 12r + -11r = 11r + -11r Combine like terms: 12r + -11r = 1r -24 + 1r = 11r + -11r Combine like terms: 11r + -11r = 0 -24 + 1r = 0 Add '24' to each side of the equation. -24 + 24 + 1r = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 1r = 0 + 24 1r = 0 + 24 Combine like terms: 0 + 24 = 24 1r = 24 Divide each side by '1'. r = 24 Simplifying r = 24
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