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Simplifying -7(3b + 1) + (22b + -1) = 0 Reorder the terms: -7(1 + 3b) + (22b + -1) = 0 (1 * -7 + 3b * -7) + (22b + -1) = 0 (-7 + -21b) + (22b + -1) = 0 Reorder the terms: -7 + -21b + (-1 + 22b) = 0 Remove parenthesis around (-1 + 22b) -7 + -21b + -1 + 22b = 0 Reorder the terms: -7 + -1 + -21b + 22b = 0 Combine like terms: -7 + -1 = -8 -8 + -21b + 22b = 0 Combine like terms: -21b + 22b = 1b -8 + 1b = 0 Solving -8 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = 0 + 8 1b = 0 + 8 Combine like terms: 0 + 8 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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