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Simplifying 84 = 7(r + 5) Reorder the terms: 84 = 7(5 + r) 84 = (5 * 7 + r * 7) 84 = (35 + 7r) Solving 84 = 35 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 84 + -7r = 35 + 7r + -7r Combine like terms: 7r + -7r = 0 84 + -7r = 35 + 0 84 + -7r = 35 Add '-84' to each side of the equation. 84 + -84 + -7r = 35 + -84 Combine like terms: 84 + -84 = 0 0 + -7r = 35 + -84 -7r = 35 + -84 Combine like terms: 35 + -84 = -49 -7r = -49 Divide each side by '-7'. r = 7 Simplifying r = 7
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