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Simplifying -7(2b + 3) + (15b + -1) = 0 Reorder the terms: -7(3 + 2b) + (15b + -1) = 0 (3 * -7 + 2b * -7) + (15b + -1) = 0 (-21 + -14b) + (15b + -1) = 0 Reorder the terms: -21 + -14b + (-1 + 15b) = 0 Remove parenthesis around (-1 + 15b) -21 + -14b + -1 + 15b = 0 Reorder the terms: -21 + -1 + -14b + 15b = 0 Combine like terms: -21 + -1 = -22 -22 + -14b + 15b = 0 Combine like terms: -14b + 15b = 1b -22 + 1b = 0 Solving -22 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 1b = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 1b = 0 + 22 1b = 0 + 22 Combine like terms: 0 + 22 = 22 1b = 22 Divide each side by '1'. b = 22 Simplifying b = 22
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