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Simplifying (22b + -3) + -7(3b + 1) = -7 Reorder the terms: (-3 + 22b) + -7(3b + 1) = -7 Remove parenthesis around (-3 + 22b) -3 + 22b + -7(3b + 1) = -7 Reorder the terms: -3 + 22b + -7(1 + 3b) = -7 -3 + 22b + (1 * -7 + 3b * -7) = -7 -3 + 22b + (-7 + -21b) = -7 Reorder the terms: -3 + -7 + 22b + -21b = -7 Combine like terms: -3 + -7 = -10 -10 + 22b + -21b = -7 Combine like terms: 22b + -21b = 1b -10 + 1b = -7 Solving -10 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1b = -7 + 10 Combine like terms: -10 + 10 = 0 0 + 1b = -7 + 10 1b = -7 + 10 Combine like terms: -7 + 10 = 3 1b = 3 Divide each side by '1'. b = 3 Simplifying b = 3
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