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Simplifying -102 = -6(4b + -3) Reorder the terms: -102 = -6(-3 + 4b) -102 = (-3 * -6 + 4b * -6) -102 = (18 + -24b) Solving -102 = 18 + -24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24b' to each side of the equation. -102 + 24b = 18 + -24b + 24b Combine like terms: -24b + 24b = 0 -102 + 24b = 18 + 0 -102 + 24b = 18 Add '102' to each side of the equation. -102 + 102 + 24b = 18 + 102 Combine like terms: -102 + 102 = 0 0 + 24b = 18 + 102 24b = 18 + 102 Combine like terms: 18 + 102 = 120 24b = 120 Divide each side by '24'. b = 5 Simplifying b = 5
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