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Simplifying -7b + -6 = 2b + -78 Reorder the terms: -6 + -7b = 2b + -78 Reorder the terms: -6 + -7b = -78 + 2b Solving -6 + -7b = -78 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -6 + -7b + -2b = -78 + 2b + -2b Combine like terms: -7b + -2b = -9b -6 + -9b = -78 + 2b + -2b Combine like terms: 2b + -2b = 0 -6 + -9b = -78 + 0 -6 + -9b = -78 Add '6' to each side of the equation. -6 + 6 + -9b = -78 + 6 Combine like terms: -6 + 6 = 0 0 + -9b = -78 + 6 -9b = -78 + 6 Combine like terms: -78 + 6 = -72 -9b = -72 Divide each side by '-9'. b = 8 Simplifying b = 8
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