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Simplifying (22b + -9) + -7(3b + 4) = 6 Reorder the terms: (-9 + 22b) + -7(3b + 4) = 6 Remove parenthesis around (-9 + 22b) -9 + 22b + -7(3b + 4) = 6 Reorder the terms: -9 + 22b + -7(4 + 3b) = 6 -9 + 22b + (4 * -7 + 3b * -7) = 6 -9 + 22b + (-28 + -21b) = 6 Reorder the terms: -9 + -28 + 22b + -21b = 6 Combine like terms: -9 + -28 = -37 -37 + 22b + -21b = 6 Combine like terms: 22b + -21b = 1b -37 + 1b = 6 Solving -37 + 1b = 6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 1b = 6 + 37 Combine like terms: -37 + 37 = 0 0 + 1b = 6 + 37 1b = 6 + 37 Combine like terms: 6 + 37 = 43 1b = 43 Divide each side by '1'. b = 43 Simplifying b = 43
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