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Simplifying 6(b + -4) + -5(b + 4) = 6 Reorder the terms: 6(-4 + b) + -5(b + 4) = 6 (-4 * 6 + b * 6) + -5(b + 4) = 6 (-24 + 6b) + -5(b + 4) = 6 Reorder the terms: -24 + 6b + -5(4 + b) = 6 -24 + 6b + (4 * -5 + b * -5) = 6 -24 + 6b + (-20 + -5b) = 6 Reorder the terms: -24 + -20 + 6b + -5b = 6 Combine like terms: -24 + -20 = -44 -44 + 6b + -5b = 6 Combine like terms: 6b + -5b = 1b -44 + 1b = 6 Solving -44 + 1b = 6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 1b = 6 + 44 Combine like terms: -44 + 44 = 0 0 + 1b = 6 + 44 1b = 6 + 44 Combine like terms: 6 + 44 = 50 1b = 50 Divide each side by '1'. b = 50 Simplifying b = 50
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