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Simplifying -155 = 6(1 + -4b) + b -155 = (1 * 6 + -4b * 6) + b -155 = (6 + -24b) + b Combine like terms: -24b + b = -23b -155 = 6 + -23b Solving -155 = 6 + -23b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '23b' to each side of the equation. -155 + 23b = 6 + -23b + 23b Combine like terms: -23b + 23b = 0 -155 + 23b = 6 + 0 -155 + 23b = 6 Add '155' to each side of the equation. -155 + 155 + 23b = 6 + 155 Combine like terms: -155 + 155 = 0 0 + 23b = 6 + 155 23b = 6 + 155 Combine like terms: 6 + 155 = 161 23b = 161 Divide each side by '23'. b = 7 Simplifying b = 7
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