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Simplifying 84 = 4(3b + 6) Reorder the terms: 84 = 4(6 + 3b) 84 = (6 * 4 + 3b * 4) 84 = (24 + 12b) Solving 84 = 24 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 84 + -12b = 24 + 12b + -12b Combine like terms: 12b + -12b = 0 84 + -12b = 24 + 0 84 + -12b = 24 Add '-84' to each side of the equation. 84 + -84 + -12b = 24 + -84 Combine like terms: 84 + -84 = 0 0 + -12b = 24 + -84 -12b = 24 + -84 Combine like terms: 24 + -84 = -60 -12b = -60 Divide each side by '-12'. b = 5 Simplifying b = 5
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