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Simplifying (22b + -7) + -7(3b + 4) = -6 Reorder the terms: (-7 + 22b) + -7(3b + 4) = -6 Remove parenthesis around (-7 + 22b) -7 + 22b + -7(3b + 4) = -6 Reorder the terms: -7 + 22b + -7(4 + 3b) = -6 -7 + 22b + (4 * -7 + 3b * -7) = -6 -7 + 22b + (-28 + -21b) = -6 Reorder the terms: -7 + -28 + 22b + -21b = -6 Combine like terms: -7 + -28 = -35 -35 + 22b + -21b = -6 Combine like terms: 22b + -21b = 1b -35 + 1b = -6 Solving -35 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 1b = -6 + 35 Combine like terms: -35 + 35 = 0 0 + 1b = -6 + 35 1b = -6 + 35 Combine like terms: -6 + 35 = 29 1b = 29 Divide each side by '1'. b = 29 Simplifying b = 29
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