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Simplifying -27 = 4(3b + 8) Reorder the terms: -27 = 4(8 + 3b) -27 = (8 * 4 + 3b * 4) -27 = (32 + 12b) Solving -27 = 32 + 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. -27 + -12b = 32 + 12b + -12b Combine like terms: 12b + -12b = 0 -27 + -12b = 32 + 0 -27 + -12b = 32 Add '27' to each side of the equation. -27 + 27 + -12b = 32 + 27 Combine like terms: -27 + 27 = 0 0 + -12b = 32 + 27 -12b = 32 + 27 Combine like terms: 32 + 27 = 59 -12b = 59 Divide each side by '-12'. b = -4.916666667 Simplifying b = -4.916666667
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