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Simplifying 8(b + -4) + -20 = 4(b + 6) Reorder the terms: 8(-4 + b) + -20 = 4(b + 6) (-4 * 8 + b * 8) + -20 = 4(b + 6) (-32 + 8b) + -20 = 4(b + 6) Reorder the terms: -32 + -20 + 8b = 4(b + 6) Combine like terms: -32 + -20 = -52 -52 + 8b = 4(b + 6) Reorder the terms: -52 + 8b = 4(6 + b) -52 + 8b = (6 * 4 + b * 4) -52 + 8b = (24 + 4b) Solving -52 + 8b = 24 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -52 + 8b + -4b = 24 + 4b + -4b Combine like terms: 8b + -4b = 4b -52 + 4b = 24 + 4b + -4b Combine like terms: 4b + -4b = 0 -52 + 4b = 24 + 0 -52 + 4b = 24 Add '52' to each side of the equation. -52 + 52 + 4b = 24 + 52 Combine like terms: -52 + 52 = 0 0 + 4b = 24 + 52 4b = 24 + 52 Combine like terms: 24 + 52 = 76 4b = 76 Divide each side by '4'. b = 19 Simplifying b = 19
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