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Simplifying 2(b + -1) = 8(b + -4) Reorder the terms: 2(-1 + b) = 8(b + -4) (-1 * 2 + b * 2) = 8(b + -4) (-2 + 2b) = 8(b + -4) Reorder the terms: -2 + 2b = 8(-4 + b) -2 + 2b = (-4 * 8 + b * 8) -2 + 2b = (-32 + 8b) Solving -2 + 2b = -32 + 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. -2 + 2b + -8b = -32 + 8b + -8b Combine like terms: 2b + -8b = -6b -2 + -6b = -32 + 8b + -8b Combine like terms: 8b + -8b = 0 -2 + -6b = -32 + 0 -2 + -6b = -32 Add '2' to each side of the equation. -2 + 2 + -6b = -32 + 2 Combine like terms: -2 + 2 = 0 0 + -6b = -32 + 2 -6b = -32 + 2 Combine like terms: -32 + 2 = -30 -6b = -30 Divide each side by '-6'. b = 5 Simplifying b = 5
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