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Simplifying 7(r + -5) + 12 = 5 Reorder the terms: 7(-5 + r) + 12 = 5 (-5 * 7 + r * 7) + 12 = 5 (-35 + 7r) + 12 = 5 Reorder the terms: -35 + 12 + 7r = 5 Combine like terms: -35 + 12 = -23 -23 + 7r = 5 Solving -23 + 7r = 5 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 7r = 5 + 23 Combine like terms: -23 + 23 = 0 0 + 7r = 5 + 23 7r = 5 + 23 Combine like terms: 5 + 23 = 28 7r = 28 Divide each side by '7'. r = 4 Simplifying r = 4
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