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Simplifying -47 = 10b + 33 Reorder the terms: -47 = 33 + 10b Solving -47 = 33 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -47 + -10b = 33 + 10b + -10b Combine like terms: 10b + -10b = 0 -47 + -10b = 33 + 0 -47 + -10b = 33 Add '47' to each side of the equation. -47 + 47 + -10b = 33 + 47 Combine like terms: -47 + 47 = 0 0 + -10b = 33 + 47 -10b = 33 + 47 Combine like terms: 33 + 47 = 80 -10b = 80 Divide each side by '-10'. b = -8 Simplifying b = -8
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