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Simplifying -54 = 4(3b + 2) Reorder the terms: -54 = 4(2 + 3b) -54 = (2 * 4 + 3b * 4) -54 = (8 + 12b) Solving -54 = 8 + 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. -54 + -12b = 8 + 12b + -12b Combine like terms: 12b + -12b = 0 -54 + -12b = 8 + 0 -54 + -12b = 8 Add '54' to each side of the equation. -54 + 54 + -12b = 8 + 54 Combine like terms: -54 + 54 = 0 0 + -12b = 8 + 54 -12b = 8 + 54 Combine like terms: 8 + 54 = 62 -12b = 62 Divide each side by '-12'. b = -5.166666667 Simplifying b = -5.166666667
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