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Simplifying 6 + -6(5b + 6) = -30 + 3b Reorder the terms: 6 + -6(6 + 5b) = -30 + 3b 6 + (6 * -6 + 5b * -6) = -30 + 3b 6 + (-36 + -30b) = -30 + 3b Combine like terms: 6 + -36 = -30 -30 + -30b = -30 + 3b Add '30' to each side of the equation. -30 + 30 + -30b = -30 + 30 + 3b Combine like terms: -30 + 30 = 0 0 + -30b = -30 + 30 + 3b -30b = -30 + 30 + 3b Combine like terms: -30 + 30 = 0 -30b = 0 + 3b -30b = 3b Solving -30b = 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -30b + -3b = 3b + -3b Combine like terms: -30b + -3b = -33b -33b = 3b + -3b Combine like terms: 3b + -3b = 0 -33b = 0 Divide each side by '-33'. b = 0 Simplifying b = 0
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