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Simplifying 7(-6 + -2b) = 6 + -8b (-6 * 7 + -2b * 7) = 6 + -8b (-42 + -14b) = 6 + -8b Solving -42 + -14b = 6 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -42 + -14b + 8b = 6 + -8b + 8b Combine like terms: -14b + 8b = -6b -42 + -6b = 6 + -8b + 8b Combine like terms: -8b + 8b = 0 -42 + -6b = 6 + 0 -42 + -6b = 6 Add '42' to each side of the equation. -42 + 42 + -6b = 6 + 42 Combine like terms: -42 + 42 = 0 0 + -6b = 6 + 42 -6b = 6 + 42 Combine like terms: 6 + 42 = 48 -6b = 48 Divide each side by '-6'. b = -8 Simplifying b = -8
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