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Simplifying (22b + -2) + -7(3b + 1) = -2 Reorder the terms: (-2 + 22b) + -7(3b + 1) = -2 Remove parenthesis around (-2 + 22b) -2 + 22b + -7(3b + 1) = -2 Reorder the terms: -2 + 22b + -7(1 + 3b) = -2 -2 + 22b + (1 * -7 + 3b * -7) = -2 -2 + 22b + (-7 + -21b) = -2 Reorder the terms: -2 + -7 + 22b + -21b = -2 Combine like terms: -2 + -7 = -9 -9 + 22b + -21b = -2 Combine like terms: 22b + -21b = 1b -9 + 1b = -2 Solving -9 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1b = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 1b = -2 + 9 1b = -2 + 9 Combine like terms: -2 + 9 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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