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Simplifying 8(b + -4) = 5b + -2 Reorder the terms: 8(-4 + b) = 5b + -2 (-4 * 8 + b * 8) = 5b + -2 (-32 + 8b) = 5b + -2 Reorder the terms: -32 + 8b = -2 + 5b Solving -32 + 8b = -2 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -32 + 8b + -5b = -2 + 5b + -5b Combine like terms: 8b + -5b = 3b -32 + 3b = -2 + 5b + -5b Combine like terms: 5b + -5b = 0 -32 + 3b = -2 + 0 -32 + 3b = -2 Add '32' to each side of the equation. -32 + 32 + 3b = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 3b = -2 + 32 3b = -2 + 32 Combine like terms: -2 + 32 = 30 3b = 30 Divide each side by '3'. b = 10 Simplifying b = 10
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