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Simplifying 7r + 19 = -18 + -11 + 10r Reorder the terms: 19 + 7r = -18 + -11 + 10r Combine like terms: -18 + -11 = -29 19 + 7r = -29 + 10r Solving 19 + 7r = -29 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 19 + 7r + -10r = -29 + 10r + -10r Combine like terms: 7r + -10r = -3r 19 + -3r = -29 + 10r + -10r Combine like terms: 10r + -10r = 0 19 + -3r = -29 + 0 19 + -3r = -29 Add '-19' to each side of the equation. 19 + -19 + -3r = -29 + -19 Combine like terms: 19 + -19 = 0 0 + -3r = -29 + -19 -3r = -29 + -19 Combine like terms: -29 + -19 = -48 -3r = -48 Divide each side by '-3'. r = 16 Simplifying r = 16
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