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Simplifying -7(3b + 4) + (22b + -5) = 0 Reorder the terms: -7(4 + 3b) + (22b + -5) = 0 (4 * -7 + 3b * -7) + (22b + -5) = 0 (-28 + -21b) + (22b + -5) = 0 Reorder the terms: -28 + -21b + (-5 + 22b) = 0 Remove parenthesis around (-5 + 22b) -28 + -21b + -5 + 22b = 0 Reorder the terms: -28 + -5 + -21b + 22b = 0 Combine like terms: -28 + -5 = -33 -33 + -21b + 22b = 0 Combine like terms: -21b + 22b = 1b -33 + 1b = 0 Solving -33 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 1b = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 1b = 0 + 33 1b = 0 + 33 Combine like terms: 0 + 33 = 33 1b = 33 Divide each side by '1'. b = 33 Simplifying b = 33
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