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Simplifying 4(b + -8) = 3(2b + 4) Reorder the terms: 4(-8 + b) = 3(2b + 4) (-8 * 4 + b * 4) = 3(2b + 4) (-32 + 4b) = 3(2b + 4) Reorder the terms: -32 + 4b = 3(4 + 2b) -32 + 4b = (4 * 3 + 2b * 3) -32 + 4b = (12 + 6b) Solving -32 + 4b = 12 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -32 + 4b + -6b = 12 + 6b + -6b Combine like terms: 4b + -6b = -2b -32 + -2b = 12 + 6b + -6b Combine like terms: 6b + -6b = 0 -32 + -2b = 12 + 0 -32 + -2b = 12 Add '32' to each side of the equation. -32 + 32 + -2b = 12 + 32 Combine like terms: -32 + 32 = 0 0 + -2b = 12 + 32 -2b = 12 + 32 Combine like terms: 12 + 32 = 44 -2b = 44 Divide each side by '-2'. b = -22 Simplifying b = -22
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