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Simplifying -7(3b + 4) + (22b + -2) = 0 Reorder the terms: -7(4 + 3b) + (22b + -2) = 0 (4 * -7 + 3b * -7) + (22b + -2) = 0 (-28 + -21b) + (22b + -2) = 0 Reorder the terms: -28 + -21b + (-2 + 22b) = 0 Remove parenthesis around (-2 + 22b) -28 + -21b + -2 + 22b = 0 Reorder the terms: -28 + -2 + -21b + 22b = 0 Combine like terms: -28 + -2 = -30 -30 + -21b + 22b = 0 Combine like terms: -21b + 22b = 1b -30 + 1b = 0 Solving -30 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 1b = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 1b = 0 + 30 1b = 0 + 30 Combine like terms: 0 + 30 = 30 1b = 30 Divide each side by '1'. b = 30 Simplifying b = 30
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