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Simplifying 19 + 3r + -5 = -1(31 + 6r) Reorder the terms: 19 + -5 + 3r = -1(31 + 6r) Combine like terms: 19 + -5 = 14 14 + 3r = -1(31 + 6r) 14 + 3r = (31 * -1 + 6r * -1) 14 + 3r = (-31 + -6r) Solving 14 + 3r = -31 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 14 + 3r + 6r = -31 + -6r + 6r Combine like terms: 3r + 6r = 9r 14 + 9r = -31 + -6r + 6r Combine like terms: -6r + 6r = 0 14 + 9r = -31 + 0 14 + 9r = -31 Add '-14' to each side of the equation. 14 + -14 + 9r = -31 + -14 Combine like terms: 14 + -14 = 0 0 + 9r = -31 + -14 9r = -31 + -14 Combine like terms: -31 + -14 = -45 9r = -45 Divide each side by '9'. r = -5 Simplifying r = -5
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