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Simplifying 6(1 + -2b) = 30 + -6b (1 * 6 + -2b * 6) = 30 + -6b (6 + -12b) = 30 + -6b Solving 6 + -12b = 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. 6 + -12b + 6b = 30 + -6b + 6b Combine like terms: -12b + 6b = -6b 6 + -6b = 30 + -6b + 6b Combine like terms: -6b + 6b = 0 6 + -6b = 30 + 0 6 + -6b = 30 Add '-6' to each side of the equation. 6 + -6 + -6b = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -6b = 30 + -6 -6b = 30 + -6 Combine like terms: 30 + -6 = 24 -6b = 24 Divide each side by '-6'. b = -4 Simplifying b = -4
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