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Simplifying -1b + -6b = -1(-7b + -2) + -2(1 + -7b) Combine like terms: -1b + -6b = -7b -7b = -1(-7b + -2) + -2(1 + -7b) Reorder the terms: -7b = -1(-2 + -7b) + -2(1 + -7b) -7b = (-2 * -1 + -7b * -1) + -2(1 + -7b) -7b = (2 + 7b) + -2(1 + -7b) -7b = 2 + 7b + (1 * -2 + -7b * -2) -7b = 2 + 7b + (-2 + 14b) Reorder the terms: -7b = 2 + -2 + 7b + 14b Combine like terms: 2 + -2 = 0 -7b = 0 + 7b + 14b -7b = 7b + 14b Combine like terms: 7b + 14b = 21b -7b = 21b Solving -7b = 21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21b' to each side of the equation. -7b + -21b = 21b + -21b Combine like terms: -7b + -21b = -28b -28b = 21b + -21b Combine like terms: 21b + -21b = 0 -28b = 0 Divide each side by '-28'. b = 0 Simplifying b = 0
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