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Simplifying 5r + 2(3r + -1) = -46 Reorder the terms: 5r + 2(-1 + 3r) = -46 5r + (-1 * 2 + 3r * 2) = -46 5r + (-2 + 6r) = -46 Reorder the terms: -2 + 5r + 6r = -46 Combine like terms: 5r + 6r = 11r -2 + 11r = -46 Solving -2 + 11r = -46 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 11r = -46 + 2 Combine like terms: -2 + 2 = 0 0 + 11r = -46 + 2 11r = -46 + 2 Combine like terms: -46 + 2 = -44 11r = -44 Divide each side by '11'. r = -4 Simplifying r = -4
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