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Simplifying 4(2b + -7) + (5b + -11) = 0 Reorder the terms: 4(-7 + 2b) + (5b + -11) = 0 (-7 * 4 + 2b * 4) + (5b + -11) = 0 (-28 + 8b) + (5b + -11) = 0 Reorder the terms: -28 + 8b + (-11 + 5b) = 0 Remove parenthesis around (-11 + 5b) -28 + 8b + -11 + 5b = 0 Reorder the terms: -28 + -11 + 8b + 5b = 0 Combine like terms: -28 + -11 = -39 -39 + 8b + 5b = 0 Combine like terms: 8b + 5b = 13b -39 + 13b = 0 Solving -39 + 13b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 13b = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 13b = 0 + 39 13b = 0 + 39 Combine like terms: 0 + 39 = 39 13b = 39 Divide each side by '13'. b = 3 Simplifying b = 3
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