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Simplifying 5(5 + -4r) + 7 = 112 (5 * 5 + -4r * 5) + 7 = 112 (25 + -20r) + 7 = 112 Reorder the terms: 25 + 7 + -20r = 112 Combine like terms: 25 + 7 = 32 32 + -20r = 112 Solving 32 + -20r = 112 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -20r = 112 + -32 Combine like terms: 32 + -32 = 0 0 + -20r = 112 + -32 -20r = 112 + -32 Combine like terms: 112 + -32 = 80 -20r = 80 Divide each side by '-20'. r = -4 Simplifying r = -4
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