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Simplifying 19 + 3r = -8 + 3(3 + -5r) 19 + 3r = -8 + (3 * 3 + -5r * 3) 19 + 3r = -8 + (9 + -15r) Combine like terms: -8 + 9 = 1 19 + 3r = 1 + -15r Solving 19 + 3r = 1 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. 19 + 3r + 15r = 1 + -15r + 15r Combine like terms: 3r + 15r = 18r 19 + 18r = 1 + -15r + 15r Combine like terms: -15r + 15r = 0 19 + 18r = 1 + 0 19 + 18r = 1 Add '-19' to each side of the equation. 19 + -19 + 18r = 1 + -19 Combine like terms: 19 + -19 = 0 0 + 18r = 1 + -19 18r = 1 + -19 Combine like terms: 1 + -19 = -18 18r = -18 Divide each side by '18'. r = -1 Simplifying r = -1
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