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Simplifying 2(1 + -7b) = -30 + -6b (1 * 2 + -7b * 2) = -30 + -6b (2 + -14b) = -30 + -6b Solving 2 + -14b = -30 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 2 + -14b + 6b = -30 + -6b + 6b Combine like terms: -14b + 6b = -8b 2 + -8b = -30 + -6b + 6b Combine like terms: -6b + 6b = 0 2 + -8b = -30 + 0 2 + -8b = -30 Add '-2' to each side of the equation. 2 + -2 + -8b = -30 + -2 Combine like terms: 2 + -2 = 0 0 + -8b = -30 + -2 -8b = -30 + -2 Combine like terms: -30 + -2 = -32 -8b = -32 Divide each side by '-8'. b = 4 Simplifying b = 4
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