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Simplifying (7b + -2) + -2(3b + 4) = -3 Reorder the terms: (-2 + 7b) + -2(3b + 4) = -3 Remove parenthesis around (-2 + 7b) -2 + 7b + -2(3b + 4) = -3 Reorder the terms: -2 + 7b + -2(4 + 3b) = -3 -2 + 7b + (4 * -2 + 3b * -2) = -3 -2 + 7b + (-8 + -6b) = -3 Reorder the terms: -2 + -8 + 7b + -6b = -3 Combine like terms: -2 + -8 = -10 -10 + 7b + -6b = -3 Combine like terms: 7b + -6b = 1b -10 + 1b = -3 Solving -10 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1b = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 1b = -3 + 10 1b = -3 + 10 Combine like terms: -3 + 10 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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