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Simplifying -6(8 + -1b) + -2 = 5b (8 * -6 + -1b * -6) + -2 = 5b (-48 + 6b) + -2 = 5b Reorder the terms: -48 + -2 + 6b = 5b Combine like terms: -48 + -2 = -50 -50 + 6b = 5b Solving -50 + 6b = 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -50 + 6b + -5b = 5b + -5b Combine like terms: 6b + -5b = 1b -50 + 1b = 5b + -5b Combine like terms: 5b + -5b = 0 -50 + 1b = 0 Add '50' to each side of the equation. -50 + 50 + 1b = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 1b = 0 + 50 1b = 0 + 50 Combine like terms: 0 + 50 = 50 1b = 50 Divide each side by '1'. b = 50 Simplifying b = 50
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