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Simplifying -6(b + -3) + 7(4b + -4) = -32 Reorder the terms: -6(-3 + b) + 7(4b + -4) = -32 (-3 * -6 + b * -6) + 7(4b + -4) = -32 (18 + -6b) + 7(4b + -4) = -32 Reorder the terms: 18 + -6b + 7(-4 + 4b) = -32 18 + -6b + (-4 * 7 + 4b * 7) = -32 18 + -6b + (-28 + 28b) = -32 Reorder the terms: 18 + -28 + -6b + 28b = -32 Combine like terms: 18 + -28 = -10 -10 + -6b + 28b = -32 Combine like terms: -6b + 28b = 22b -10 + 22b = -32 Solving -10 + 22b = -32 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 + 22b = -32 + 10 Combine like terms: -10 + 10 = 0 0 + 22b = -32 + 10 22b = -32 + 10 Combine like terms: -32 + 10 = -22 22b = -22 Divide each side by '22'. b = -1 Simplifying b = -1
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