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Simplifying -7(2b + 4) + (15b + -9) = 0 Reorder the terms: -7(4 + 2b) + (15b + -9) = 0 (4 * -7 + 2b * -7) + (15b + -9) = 0 (-28 + -14b) + (15b + -9) = 0 Reorder the terms: -28 + -14b + (-9 + 15b) = 0 Remove parenthesis around (-9 + 15b) -28 + -14b + -9 + 15b = 0 Reorder the terms: -28 + -9 + -14b + 15b = 0 Combine like terms: -28 + -9 = -37 -37 + -14b + 15b = 0 Combine like terms: -14b + 15b = 1b -37 + 1b = 0 Solving -37 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 1b = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 1b = 0 + 37 1b = 0 + 37 Combine like terms: 0 + 37 = 37 1b = 37 Divide each side by '1'. b = 37 Simplifying b = 37
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