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Simplifying -7(3b + 4) + (22b + -4) = 0 Reorder the terms: -7(4 + 3b) + (22b + -4) = 0 (4 * -7 + 3b * -7) + (22b + -4) = 0 (-28 + -21b) + (22b + -4) = 0 Reorder the terms: -28 + -21b + (-4 + 22b) = 0 Remove parenthesis around (-4 + 22b) -28 + -21b + -4 + 22b = 0 Reorder the terms: -28 + -4 + -21b + 22b = 0 Combine like terms: -28 + -4 = -32 -32 + -21b + 22b = 0 Combine like terms: -21b + 22b = 1b -32 + 1b = 0 Solving -32 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 1b = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 1b = 0 + 32 1b = 0 + 32 Combine like terms: 0 + 32 = 32 1b = 32 Divide each side by '1'. b = 32 Simplifying b = 32
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