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Simplifying 4b + 2(b + -6) = 8(b + 3) Reorder the terms: 4b + 2(-6 + b) = 8(b + 3) 4b + (-6 * 2 + b * 2) = 8(b + 3) 4b + (-12 + 2b) = 8(b + 3) Reorder the terms: -12 + 4b + 2b = 8(b + 3) Combine like terms: 4b + 2b = 6b -12 + 6b = 8(b + 3) Reorder the terms: -12 + 6b = 8(3 + b) -12 + 6b = (3 * 8 + b * 8) -12 + 6b = (24 + 8b) Solving -12 + 6b = 24 + 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. -12 + 6b + -8b = 24 + 8b + -8b Combine like terms: 6b + -8b = -2b -12 + -2b = 24 + 8b + -8b Combine like terms: 8b + -8b = 0 -12 + -2b = 24 + 0 -12 + -2b = 24 Add '12' to each side of the equation. -12 + 12 + -2b = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -2b = 24 + 12 -2b = 24 + 12 Combine like terms: 24 + 12 = 36 -2b = 36 Divide each side by '-2'. b = -18 Simplifying b = -18
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