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Simplifying 11r + -18 = 8r + 2(5r + 19) Reorder the terms: -18 + 11r = 8r + 2(5r + 19) Reorder the terms: -18 + 11r = 8r + 2(19 + 5r) -18 + 11r = 8r + (19 * 2 + 5r * 2) -18 + 11r = 8r + (38 + 10r) Reorder the terms: -18 + 11r = 38 + 8r + 10r Combine like terms: 8r + 10r = 18r -18 + 11r = 38 + 18r Solving -18 + 11r = 38 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. -18 + 11r + -18r = 38 + 18r + -18r Combine like terms: 11r + -18r = -7r -18 + -7r = 38 + 18r + -18r Combine like terms: 18r + -18r = 0 -18 + -7r = 38 + 0 -18 + -7r = 38 Add '18' to each side of the equation. -18 + 18 + -7r = 38 + 18 Combine like terms: -18 + 18 = 0 0 + -7r = 38 + 18 -7r = 38 + 18 Combine like terms: 38 + 18 = 56 -7r = 56 Divide each side by '-7'. r = -8 Simplifying r = -8
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