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Simplifying -284 = -2b + -8(1 + -6b) -284 = -2b + (1 * -8 + -6b * -8) -284 = -2b + (-8 + 48b) Reorder the terms: -284 = -8 + -2b + 48b Combine like terms: -2b + 48b = 46b -284 = -8 + 46b Solving -284 = -8 + 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. -284 + -46b = -8 + 46b + -46b Combine like terms: 46b + -46b = 0 -284 + -46b = -8 + 0 -284 + -46b = -8 Add '284' to each side of the equation. -284 + 284 + -46b = -8 + 284 Combine like terms: -284 + 284 = 0 0 + -46b = -8 + 284 -46b = -8 + 284 Combine like terms: -8 + 284 = 276 -46b = 276 Divide each side by '-46'. b = -6 Simplifying b = -6
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