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Simplifying 94 = 4 + 6(3b + 6) Reorder the terms: 94 = 4 + 6(6 + 3b) 94 = 4 + (6 * 6 + 3b * 6) 94 = 4 + (36 + 18b) Combine like terms: 4 + 36 = 40 94 = 40 + 18b Solving 94 = 40 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. 94 + -18b = 40 + 18b + -18b Combine like terms: 18b + -18b = 0 94 + -18b = 40 + 0 94 + -18b = 40 Add '-94' to each side of the equation. 94 + -94 + -18b = 40 + -94 Combine like terms: 94 + -94 = 0 0 + -18b = 40 + -94 -18b = 40 + -94 Combine like terms: 40 + -94 = -54 -18b = -54 Divide each side by '-18'. b = 3 Simplifying b = 3
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