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Simplifying 89 = 5 + 4(1 + 4b) 89 = 5 + (1 * 4 + 4b * 4) 89 = 5 + (4 + 16b) Combine like terms: 5 + 4 = 9 89 = 9 + 16b Solving 89 = 9 + 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. 89 + -16b = 9 + 16b + -16b Combine like terms: 16b + -16b = 0 89 + -16b = 9 + 0 89 + -16b = 9 Add '-89' to each side of the equation. 89 + -89 + -16b = 9 + -89 Combine like terms: 89 + -89 = 0 0 + -16b = 9 + -89 -16b = 9 + -89 Combine like terms: 9 + -89 = -80 -16b = -80 Divide each side by '-16'. b = 5 Simplifying b = 5
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