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Simplifying -4(4 + -1(3b + 4)) = 7 + -4(3b + 9) Reorder the terms: -4(4 + -1(4 + 3b)) = 7 + -4(3b + 9) -4(4 + (4 * -1 + 3b * -1)) = 7 + -4(3b + 9) -4(4 + (-4 + -3b)) = 7 + -4(3b + 9) Combine like terms: 4 + -4 = 0 -4(0 + -3b) = 7 + -4(3b + 9) -4(-3b) = 7 + -4(3b + 9) Remove parenthesis around (-3b) -4 * -3b = 7 + -4(3b + 9) Multiply -4 * -3 12b = 7 + -4(3b + 9) Reorder the terms: 12b = 7 + -4(9 + 3b) 12b = 7 + (9 * -4 + 3b * -4) 12b = 7 + (-36 + -12b) Combine like terms: 7 + -36 = -29 12b = -29 + -12b Solving 12b = -29 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. 12b + 12b = -29 + -12b + 12b Combine like terms: 12b + 12b = 24b 24b = -29 + -12b + 12b Combine like terms: -12b + 12b = 0 24b = -29 + 0 24b = -29 Divide each side by '24'. b = -1.208333333 Simplifying b = -1.208333333
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