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Simplifying 6(r + -7) + 52 = 112 Reorder the terms: 6(-7 + r) + 52 = 112 (-7 * 6 + r * 6) + 52 = 112 (-42 + 6r) + 52 = 112 Reorder the terms: -42 + 52 + 6r = 112 Combine like terms: -42 + 52 = 10 10 + 6r = 112 Solving 10 + 6r = 112 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6r = 112 + -10 Combine like terms: 10 + -10 = 0 0 + 6r = 112 + -10 6r = 112 + -10 Combine like terms: 112 + -10 = 102 6r = 102 Divide each side by '6'. r = 17 Simplifying r = 17
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