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Simplifying 8(3b + -4) = 4(b + -5) Reorder the terms: 8(-4 + 3b) = 4(b + -5) (-4 * 8 + 3b * 8) = 4(b + -5) (-32 + 24b) = 4(b + -5) Reorder the terms: -32 + 24b = 4(-5 + b) -32 + 24b = (-5 * 4 + b * 4) -32 + 24b = (-20 + 4b) Solving -32 + 24b = -20 + 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. -32 + 24b + -4b = -20 + 4b + -4b Combine like terms: 24b + -4b = 20b -32 + 20b = -20 + 4b + -4b Combine like terms: 4b + -4b = 0 -32 + 20b = -20 + 0 -32 + 20b = -20 Add '32' to each side of the equation. -32 + 32 + 20b = -20 + 32 Combine like terms: -32 + 32 = 0 0 + 20b = -20 + 32 20b = -20 + 32 Combine like terms: -20 + 32 = 12 20b = 12 Divide each side by '20'. b = 0.6 Simplifying b = 0.6
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