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Simplifying -102 = -6(b + 10) Reorder the terms: -102 = -6(10 + b) -102 = (10 * -6 + b * -6) -102 = (-60 + -6b) Solving -102 = -60 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -102 + 6b = -60 + -6b + 6b Combine like terms: -6b + 6b = 0 -102 + 6b = -60 + 0 -102 + 6b = -60 Add '102' to each side of the equation. -102 + 102 + 6b = -60 + 102 Combine like terms: -102 + 102 = 0 0 + 6b = -60 + 102 6b = -60 + 102 Combine like terms: -60 + 102 = 42 6b = 42 Divide each side by '6'. b = 7 Simplifying b = 7
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