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Simplifying -4 + 4(3b + 8) = -1 + -5(2 + -3b) Reorder the terms: -4 + 4(8 + 3b) = -1 + -5(2 + -3b) -4 + (8 * 4 + 3b * 4) = -1 + -5(2 + -3b) -4 + (32 + 12b) = -1 + -5(2 + -3b) Combine like terms: -4 + 32 = 28 28 + 12b = -1 + -5(2 + -3b) 28 + 12b = -1 + (2 * -5 + -3b * -5) 28 + 12b = -1 + (-10 + 15b) Combine like terms: -1 + -10 = -11 28 + 12b = -11 + 15b Solving 28 + 12b = -11 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 28 + 12b + -15b = -11 + 15b + -15b Combine like terms: 12b + -15b = -3b 28 + -3b = -11 + 15b + -15b Combine like terms: 15b + -15b = 0 28 + -3b = -11 + 0 28 + -3b = -11 Add '-28' to each side of the equation. 28 + -28 + -3b = -11 + -28 Combine like terms: 28 + -28 = 0 0 + -3b = -11 + -28 -3b = -11 + -28 Combine like terms: -11 + -28 = -39 -3b = -39 Divide each side by '-3'. b = 13 Simplifying b = 13
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