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Simplifying (-3b + -2) + -4b + -1(2b + 10 + -4b) + (-4b) + 7b = -2 Reorder the terms: (-2 + -3b) + -4b + -1(2b + 10 + -4b) + (-4b) + 7b = -2 Remove parenthesis around (-2 + -3b) -2 + -3b + -4b + -1(2b + 10 + -4b) + (-4b) + 7b = -2 Reorder the terms: -2 + -3b + -4b + -1(10 + 2b + -4b) + (-4b) + 7b = -2 Combine like terms: 2b + -4b = -2b -2 + -3b + -4b + -1(10 + -2b) + (-4b) + 7b = -2 -2 + -3b + -4b + (10 * -1 + -2b * -1) + (-4b) + 7b = -2 -2 + -3b + -4b + (-10 + 2b) + (-4b) + 7b = -2 Reorder the terms: -2 + -10 + -3b + -4b + 2b + (-4b) + 7b = -2 Combine like terms: -2 + -10 = -12 -12 + -3b + -4b + 2b + (-4b) + 7b = -2 Combine like terms: -3b + -4b = -7b -12 + -7b + 2b + (-4b) + 7b = -2 Combine like terms: -7b + 2b = -5b -12 + -5b + (-4b) + 7b = -2 Combine like terms: -5b + (-4b) = -9b -12 + -9b + 7b = -2 Combine like terms: -9b + 7b = -2b -12 + -2b = -2 Solving -12 + -2b = -2 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 + -2b = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -2b = -2 + 12 -2b = -2 + 12 Combine like terms: -2 + 12 = 10 -2b = 10 Divide each side by '-2'. b = -5 Simplifying b = -5
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