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Simplifying -7(3b + 1) + (22b + -5) = 0 Reorder the terms: -7(1 + 3b) + (22b + -5) = 0 (1 * -7 + 3b * -7) + (22b + -5) = 0 (-7 + -21b) + (22b + -5) = 0 Reorder the terms: -7 + -21b + (-5 + 22b) = 0 Remove parenthesis around (-5 + 22b) -7 + -21b + -5 + 22b = 0 Reorder the terms: -7 + -5 + -21b + 22b = 0 Combine like terms: -7 + -5 = -12 -12 + -21b + 22b = 0 Combine like terms: -21b + 22b = 1b -12 + 1b = 0 Solving -12 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = 0 + 12 1b = 0 + 12 Combine like terms: 0 + 12 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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