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Simplifying -7(3b + 2) + (22b + -8) = 0 Reorder the terms: -7(2 + 3b) + (22b + -8) = 0 (2 * -7 + 3b * -7) + (22b + -8) = 0 (-14 + -21b) + (22b + -8) = 0 Reorder the terms: -14 + -21b + (-8 + 22b) = 0 Remove parenthesis around (-8 + 22b) -14 + -21b + -8 + 22b = 0 Reorder the terms: -14 + -8 + -21b + 22b = 0 Combine like terms: -14 + -8 = -22 -22 + -21b + 22b = 0 Combine like terms: -21b + 22b = 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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