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Simplifying 6(6 + -1b) = -8(b + -4) + b (6 * 6 + -1b * 6) = -8(b + -4) + b (36 + -6b) = -8(b + -4) + b Reorder the terms: 36 + -6b = -8(-4 + b) + b 36 + -6b = (-4 * -8 + b * -8) + b 36 + -6b = (32 + -8b) + b Combine like terms: -8b + b = -7b 36 + -6b = 32 + -7b Solving 36 + -6b = 32 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 36 + -6b + 7b = 32 + -7b + 7b Combine like terms: -6b + 7b = 1b 36 + 1b = 32 + -7b + 7b Combine like terms: -7b + 7b = 0 36 + 1b = 32 + 0 36 + 1b = 32 Add '-36' to each side of the equation. 36 + -36 + 1b = 32 + -36 Combine like terms: 36 + -36 = 0 0 + 1b = 32 + -36 1b = 32 + -36 Combine like terms: 32 + -36 = -4 1b = -4 Divide each side by '1'. b = -4 Simplifying b = -4
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