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Simplifying (5b + -6) + -2(2b + 3) = -3 Reorder the terms: (-6 + 5b) + -2(2b + 3) = -3 Remove parenthesis around (-6 + 5b) -6 + 5b + -2(2b + 3) = -3 Reorder the terms: -6 + 5b + -2(3 + 2b) = -3 -6 + 5b + (3 * -2 + 2b * -2) = -3 -6 + 5b + (-6 + -4b) = -3 Reorder the terms: -6 + -6 + 5b + -4b = -3 Combine like terms: -6 + -6 = -12 -12 + 5b + -4b = -3 Combine like terms: 5b + -4b = 1b -12 + 1b = -3 Solving -12 + 1b = -3 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 = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = -3 + 12 1b = -3 + 12 Combine like terms: -3 + 12 = 9 1b = 9 Divide each side by '1'. b = 9 Simplifying b = 9
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