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Simplifying 122 = 6 + 4(4b + 5) Reorder the terms: 122 = 6 + 4(5 + 4b) 122 = 6 + (5 * 4 + 4b * 4) 122 = 6 + (20 + 16b) Combine like terms: 6 + 20 = 26 122 = 26 + 16b Solving 122 = 26 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. 122 + -16b = 26 + 16b + -16b Combine like terms: 16b + -16b = 0 122 + -16b = 26 + 0 122 + -16b = 26 Add '-122' to each side of the equation. 122 + -122 + -16b = 26 + -122 Combine like terms: 122 + -122 = 0 0 + -16b = 26 + -122 -16b = 26 + -122 Combine like terms: 26 + -122 = -96 -16b = -96 Divide each side by '-16'. b = 6 Simplifying b = 6
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