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Simplifying 5b + 8(1 + -7b) = 8 + 2b 5b + (1 * 8 + -7b * 8) = 8 + 2b 5b + (8 + -56b) = 8 + 2b Reorder the terms: 8 + 5b + -56b = 8 + 2b Combine like terms: 5b + -56b = -51b 8 + -51b = 8 + 2b Add '-8' to each side of the equation. 8 + -8 + -51b = 8 + -8 + 2b Combine like terms: 8 + -8 = 0 0 + -51b = 8 + -8 + 2b -51b = 8 + -8 + 2b Combine like terms: 8 + -8 = 0 -51b = 0 + 2b -51b = 2b Solving -51b = 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -51b + -2b = 2b + -2b Combine like terms: -51b + -2b = -53b -53b = 2b + -2b Combine like terms: 2b + -2b = 0 -53b = 0 Divide each side by '-53'. b = 0 Simplifying b = 0
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