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Simplifying -7(3b + 3) + (22b + -6) = 0 Reorder the terms: -7(3 + 3b) + (22b + -6) = 0 (3 * -7 + 3b * -7) + (22b + -6) = 0 (-21 + -21b) + (22b + -6) = 0 Reorder the terms: -21 + -21b + (-6 + 22b) = 0 Remove parenthesis around (-6 + 22b) -21 + -21b + -6 + 22b = 0 Reorder the terms: -21 + -6 + -21b + 22b = 0 Combine like terms: -21 + -6 = -27 -27 + -21b + 22b = 0 Combine like terms: -21b + 22b = 1b -27 + 1b = 0 Solving -27 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 1b = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 1b = 0 + 27 1b = 0 + 27 Combine like terms: 0 + 27 = 27 1b = 27 Divide each side by '1'. b = 27 Simplifying b = 27
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