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