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Simplifying 49 + 8r = -3(5r + -1) Reorder the terms: 49 + 8r = -3(-1 + 5r) 49 + 8r = (-1 * -3 + 5r * -3) 49 + 8r = (3 + -15r) Solving 49 + 8r = 3 + -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. 49 + 8r + 15r = 3 + -15r + 15r Combine like terms: 8r + 15r = 23r 49 + 23r = 3 + -15r + 15r Combine like terms: -15r + 15r = 0 49 + 23r = 3 + 0 49 + 23r = 3 Add '-49' to each side of the equation. 49 + -49 + 23r = 3 + -49 Combine like terms: 49 + -49 = 0 0 + 23r = 3 + -49 23r = 3 + -49 Combine like terms: 3 + -49 = -46 23r = -46 Divide each side by '23'. r = -2 Simplifying r = -2
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