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Simplifying -47 = 6b + 1 Reorder the terms: -47 = 1 + 6b Solving -47 = 1 + 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. -47 + -6b = 1 + 6b + -6b Combine like terms: 6b + -6b = 0 -47 + -6b = 1 + 0 -47 + -6b = 1 Add '47' to each side of the equation. -47 + 47 + -6b = 1 + 47 Combine like terms: -47 + 47 = 0 0 + -6b = 1 + 47 -6b = 1 + 47 Combine like terms: 1 + 47 = 48 -6b = 48 Divide each side by '-6'. b = -8 Simplifying b = -8
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