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Simplifying -76 = -8(-6b + -2) + -2b Reorder the terms: -76 = -8(-2 + -6b) + -2b -76 = (-2 * -8 + -6b * -8) + -2b -76 = (16 + 48b) + -2b Combine like terms: 48b + -2b = 46b -76 = 16 + 46b Solving -76 = 16 + 46b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-46b' to each side of the equation. -76 + -46b = 16 + 46b + -46b Combine like terms: 46b + -46b = 0 -76 + -46b = 16 + 0 -76 + -46b = 16 Add '76' to each side of the equation. -76 + 76 + -46b = 16 + 76 Combine like terms: -76 + 76 = 0 0 + -46b = 16 + 76 -46b = 16 + 76 Combine like terms: 16 + 76 = 92 -46b = 92 Divide each side by '-46'. b = -2 Simplifying b = -2
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