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Simplifying (22b + -8) + -7(3b + 2) = -7 Reorder the terms: (-8 + 22b) + -7(3b + 2) = -7 Remove parenthesis around (-8 + 22b) -8 + 22b + -7(3b + 2) = -7 Reorder the terms: -8 + 22b + -7(2 + 3b) = -7 -8 + 22b + (2 * -7 + 3b * -7) = -7 -8 + 22b + (-14 + -21b) = -7 Reorder the terms: -8 + -14 + 22b + -21b = -7 Combine like terms: -8 + -14 = -22 -22 + 22b + -21b = -7 Combine like terms: 22b + -21b = 1b -22 + 1b = -7 Solving -22 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 1b = -7 + 22 Combine like terms: -22 + 22 = 0 0 + 1b = -7 + 22 1b = -7 + 22 Combine like terms: -7 + 22 = 15 1b = 15 Divide each side by '1'. b = 15 Simplifying b = 15
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