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Simplifying (22b + -5) + -7(3b + 2) = -2 Reorder the terms: (-5 + 22b) + -7(3b + 2) = -2 Remove parenthesis around (-5 + 22b) -5 + 22b + -7(3b + 2) = -2 Reorder the terms: -5 + 22b + -7(2 + 3b) = -2 -5 + 22b + (2 * -7 + 3b * -7) = -2 -5 + 22b + (-14 + -21b) = -2 Reorder the terms: -5 + -14 + 22b + -21b = -2 Combine like terms: -5 + -14 = -19 -19 + 22b + -21b = -2 Combine like terms: 22b + -21b = 1b -19 + 1b = -2 Solving -19 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1b = -2 + 19 Combine like terms: -19 + 19 = 0 0 + 1b = -2 + 19 1b = -2 + 19 Combine like terms: -2 + 19 = 17 1b = 17 Divide each side by '1'. b = 17 Simplifying b = 17
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