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Simplifying 84 = 7(b + 6) Reorder the terms: 84 = 7(6 + b) 84 = (6 * 7 + b * 7) 84 = (42 + 7b) Solving 84 = 42 + 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 = 42 + 7b + -7b Combine like terms: 7b + -7b = 0 84 + -7b = 42 + 0 84 + -7b = 42 Add '-84' to each side of the equation. 84 + -84 + -7b = 42 + -84 Combine like terms: 84 + -84 = 0 0 + -7b = 42 + -84 -7b = 42 + -84 Combine like terms: 42 + -84 = -42 -7b = -42 Divide each side by '-7'. b = 6 Simplifying b = 6
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