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