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Simplifying 2(r + -2) + 3 = 19 Reorder the terms: 2(-2 + r) + 3 = 19 (-2 * 2 + r * 2) + 3 = 19 (-4 + 2r) + 3 = 19 Reorder the terms: -4 + 3 + 2r = 19 Combine like terms: -4 + 3 = -1 -1 + 2r = 19 Solving -1 + 2r = 19 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2r = 19 + 1 Combine like terms: -1 + 1 = 0 0 + 2r = 19 + 1 2r = 19 + 1 Combine like terms: 19 + 1 = 20 2r = 20 Divide each side by '2'. r = 10 Simplifying r = 10
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