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Simplifying -284 = -6(7 + -8b) -284 = (7 * -6 + -8b * -6) -284 = (-42 + 48b) Solving -284 = -42 + 48b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-48b' to each side of the equation. -284 + -48b = -42 + 48b + -48b Combine like terms: 48b + -48b = 0 -284 + -48b = -42 + 0 -284 + -48b = -42 Add '284' to each side of the equation. -284 + 284 + -48b = -42 + 284 Combine like terms: -284 + 284 = 0 0 + -48b = -42 + 284 -48b = -42 + 284 Combine like terms: -42 + 284 = 242 -48b = 242 Divide each side by '-48'. b = -5.041666667 Simplifying b = -5.041666667
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