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Simplifying (22b + -4) + -7(3b + 4) = -7 Reorder the terms: (-4 + 22b) + -7(3b + 4) = -7 Remove parenthesis around (-4 + 22b) -4 + 22b + -7(3b + 4) = -7 Reorder the terms: -4 + 22b + -7(4 + 3b) = -7 -4 + 22b + (4 * -7 + 3b * -7) = -7 -4 + 22b + (-28 + -21b) = -7 Reorder the terms: -4 + -28 + 22b + -21b = -7 Combine like terms: -4 + -28 = -32 -32 + 22b + -21b = -7 Combine like terms: 22b + -21b = 1b -32 + 1b = -7 Solving -32 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 1b = -7 + 32 Combine like terms: -32 + 32 = 0 0 + 1b = -7 + 32 1b = -7 + 32 Combine like terms: -7 + 32 = 25 1b = 25 Divide each side by '1'. b = 25 Simplifying b = 25
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