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Simplifying 2(r + -19) + (-8) = -14 Reorder the terms: 2(-19 + r) + (-8) = -14 (-19 * 2 + r * 2) + (-8) = -14 (-38 + 2r) + (-8) = -14 -38 + 2r + -8 = -14 Reorder the terms: -38 + -8 + 2r = -14 Combine like terms: -38 + -8 = -46 -46 + 2r = -14 Solving -46 + 2r = -14 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 2r = -14 + 46 Combine like terms: -46 + 46 = 0 0 + 2r = -14 + 46 2r = -14 + 46 Combine like terms: -14 + 46 = 32 2r = 32 Divide each side by '2'. r = 16 Simplifying r = 16
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