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Simplifying -2(2b + 3) + (5b + -6) = 0 Reorder the terms: -2(3 + 2b) + (5b + -6) = 0 (3 * -2 + 2b * -2) + (5b + -6) = 0 (-6 + -4b) + (5b + -6) = 0 Reorder the terms: -6 + -4b + (-6 + 5b) = 0 Remove parenthesis around (-6 + 5b) -6 + -4b + -6 + 5b = 0 Reorder the terms: -6 + -6 + -4b + 5b = 0 Combine like terms: -6 + -6 = -12 -12 + -4b + 5b = 0 Combine like terms: -4b + 5b = 1b -12 + 1b = 0 Solving -12 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = 0 + 12 1b = 0 + 12 Combine like terms: 0 + 12 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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