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Simplifying -2(-3 + -5b) = 6b + -30 (-3 * -2 + -5b * -2) = 6b + -30 (6 + 10b) = 6b + -30 Reorder the terms: 6 + 10b = -30 + 6b Solving 6 + 10b = -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 + 10b + -6b = -30 + 6b + -6b Combine like terms: 10b + -6b = 4b 6 + 4b = -30 + 6b + -6b Combine like terms: 6b + -6b = 0 6 + 4b = -30 + 0 6 + 4b = -30 Add '-6' to each side of the equation. 6 + -6 + 4b = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 4b = -30 + -6 4b = -30 + -6 Combine like terms: -30 + -6 = -36 4b = -36 Divide each side by '4'. b = -9 Simplifying b = -9
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