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Simplifying (r + -7) * 2 = 289 Reorder the terms: (-7 + r) * 2 = 289 Reorder the terms for easier multiplication: 2(-7 + r) = 289 (-7 * 2 + r * 2) = 289 (-14 + 2r) = 289 Solving -14 + 2r = 289 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2r = 289 + 14 Combine like terms: -14 + 14 = 0 0 + 2r = 289 + 14 2r = 289 + 14 Combine like terms: 289 + 14 = 303 2r = 303 Divide each side by '2'. r = 151.5 Simplifying r = 151.5
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