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Simplifying 8 + 7r + r + 10 = -9(11 + r) + 11(r + 3) Reorder the terms: 8 + 10 + 7r + r = -9(11 + r) + 11(r + 3) Combine like terms: 8 + 10 = 18 18 + 7r + r = -9(11 + r) + 11(r + 3) Combine like terms: 7r + r = 8r 18 + 8r = -9(11 + r) + 11(r + 3) 18 + 8r = (11 * -9 + r * -9) + 11(r + 3) 18 + 8r = (-99 + -9r) + 11(r + 3) Reorder the terms: 18 + 8r = -99 + -9r + 11(3 + r) 18 + 8r = -99 + -9r + (3 * 11 + r * 11) 18 + 8r = -99 + -9r + (33 + 11r) Reorder the terms: 18 + 8r = -99 + 33 + -9r + 11r Combine like terms: -99 + 33 = -66 18 + 8r = -66 + -9r + 11r Combine like terms: -9r + 11r = 2r 18 + 8r = -66 + 2r Solving 18 + 8r = -66 + 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. 18 + 8r + -2r = -66 + 2r + -2r Combine like terms: 8r + -2r = 6r 18 + 6r = -66 + 2r + -2r Combine like terms: 2r + -2r = 0 18 + 6r = -66 + 0 18 + 6r = -66 Add '-18' to each side of the equation. 18 + -18 + 6r = -66 + -18 Combine like terms: 18 + -18 = 0 0 + 6r = -66 + -18 6r = -66 + -18 Combine like terms: -66 + -18 = -84 6r = -84 Divide each side by '6'. r = -14 Simplifying r = -14
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