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