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Simplifying 3(b + -6) = -8(1 + -1b) Reorder the terms: 3(-6 + b) = -8(1 + -1b) (-6 * 3 + b * 3) = -8(1 + -1b) (-18 + 3b) = -8(1 + -1b) -18 + 3b = (1 * -8 + -1b * -8) -18 + 3b = (-8 + 8b) Solving -18 + 3b = -8 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -18 + 3b + -8b = -8 + 8b + -8b Combine like terms: 3b + -8b = -5b -18 + -5b = -8 + 8b + -8b Combine like terms: 8b + -8b = 0 -18 + -5b = -8 + 0 -18 + -5b = -8 Add '18' to each side of the equation. -18 + 18 + -5b = -8 + 18 Combine like terms: -18 + 18 = 0 0 + -5b = -8 + 18 -5b = -8 + 18 Combine like terms: -8 + 18 = 10 -5b = 10 Divide each side by '-5'. b = -2 Simplifying b = -2
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