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Simplifying -9(2b + 4) + (19b + -2) = 0 Reorder the terms: -9(4 + 2b) + (19b + -2) = 0 (4 * -9 + 2b * -9) + (19b + -2) = 0 (-36 + -18b) + (19b + -2) = 0 Reorder the terms: -36 + -18b + (-2 + 19b) = 0 Remove parenthesis around (-2 + 19b) -36 + -18b + -2 + 19b = 0 Reorder the terms: -36 + -2 + -18b + 19b = 0 Combine like terms: -36 + -2 = -38 -38 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b -38 + 1b = 0 Solving -38 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 1b = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 1b = 0 + 38 1b = 0 + 38 Combine like terms: 0 + 38 = 38 1b = 38 Divide each side by '1'. b = 38 Simplifying b = 38
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