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Simplifying -6(b + 7) = 30 Reorder the terms: -6(7 + b) = 30 (7 * -6 + b * -6) = 30 (-42 + -6b) = 30 Solving -42 + -6b = 30 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -6b = 30 + 42 Combine like terms: -42 + 42 = 0 0 + -6b = 30 + 42 -6b = 30 + 42 Combine like terms: 30 + 42 = 72 -6b = 72 Divide each side by '-6'. b = -12 Simplifying b = -12
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