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Simplifying 4(b + -1) + -5(b + 1) = 0 Reorder the terms: 4(-1 + b) + -5(b + 1) = 0 (-1 * 4 + b * 4) + -5(b + 1) = 0 (-4 + 4b) + -5(b + 1) = 0 Reorder the terms: -4 + 4b + -5(1 + b) = 0 -4 + 4b + (1 * -5 + b * -5) = 0 -4 + 4b + (-5 + -5b) = 0 Reorder the terms: -4 + -5 + 4b + -5b = 0 Combine like terms: -4 + -5 = -9 -9 + 4b + -5b = 0 Combine like terms: 4b + -5b = -1b -9 + -1b = 0 Solving -9 + -1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1b = 0 + 9 -1b = 0 + 9 Combine like terms: 0 + 9 = 9 -1b = 9 Divide each side by '-1'. b = -9 Simplifying b = -9
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