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Simplifying -102 = -3(6b + -8) Reorder the terms: -102 = -3(-8 + 6b) -102 = (-8 * -3 + 6b * -3) -102 = (24 + -18b) Solving -102 = 24 + -18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18b' to each side of the equation. -102 + 18b = 24 + -18b + 18b Combine like terms: -18b + 18b = 0 -102 + 18b = 24 + 0 -102 + 18b = 24 Add '102' to each side of the equation. -102 + 102 + 18b = 24 + 102 Combine like terms: -102 + 102 = 0 0 + 18b = 24 + 102 18b = 24 + 102 Combine like terms: 24 + 102 = 126 18b = 126 Divide each side by '18'. b = 7 Simplifying b = 7
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