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Simplifying 5b + -3 + -1(b + 9) = 0 Reorder the terms: 5b + -3 + -1(9 + b) = 0 5b + -3 + (9 * -1 + b * -1) = 0 5b + -3 + (-9 + -1b) = 0 Reorder the terms: -3 + -9 + 5b + -1b = 0 Combine like terms: -3 + -9 = -12 -12 + 5b + -1b = 0 Combine like terms: 5b + -1b = 4b -12 + 4b = 0 Solving -12 + 4b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4b = 0 + 12 4b = 0 + 12 Combine like terms: 0 + 12 = 12 4b = 12 Divide each side by '4'. b = 3 Simplifying b = 3
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