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Simplifying -7(1 + -4b) = -39 + -4b (1 * -7 + -4b * -7) = -39 + -4b (-7 + 28b) = -39 + -4b Solving -7 + 28b = -39 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -7 + 28b + 4b = -39 + -4b + 4b Combine like terms: 28b + 4b = 32b -7 + 32b = -39 + -4b + 4b Combine like terms: -4b + 4b = 0 -7 + 32b = -39 + 0 -7 + 32b = -39 Add '7' to each side of the equation. -7 + 7 + 32b = -39 + 7 Combine like terms: -7 + 7 = 0 0 + 32b = -39 + 7 32b = -39 + 7 Combine like terms: -39 + 7 = -32 32b = -32 Divide each side by '32'. b = -1 Simplifying b = -1
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