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Simplifying (22b + -1) + -7(3b + 2) = -4 Reorder the terms: (-1 + 22b) + -7(3b + 2) = -4 Remove parenthesis around (-1 + 22b) -1 + 22b + -7(3b + 2) = -4 Reorder the terms: -1 + 22b + -7(2 + 3b) = -4 -1 + 22b + (2 * -7 + 3b * -7) = -4 -1 + 22b + (-14 + -21b) = -4 Reorder the terms: -1 + -14 + 22b + -21b = -4 Combine like terms: -1 + -14 = -15 -15 + 22b + -21b = -4 Combine like terms: 22b + -21b = 1b -15 + 1b = -4 Solving -15 + 1b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1b = -4 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = -4 + 15 1b = -4 + 15 Combine like terms: -4 + 15 = 11 1b = 11 Divide each side by '1'. b = 11 Simplifying b = 11
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