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Simplifying -1(-3b + -4) = 4(3b + -8) Reorder the terms: -1(-4 + -3b) = 4(3b + -8) (-4 * -1 + -3b * -1) = 4(3b + -8) (4 + 3b) = 4(3b + -8) Reorder the terms: 4 + 3b = 4(-8 + 3b) 4 + 3b = (-8 * 4 + 3b * 4) 4 + 3b = (-32 + 12b) Solving 4 + 3b = -32 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 4 + 3b + -12b = -32 + 12b + -12b Combine like terms: 3b + -12b = -9b 4 + -9b = -32 + 12b + -12b Combine like terms: 12b + -12b = 0 4 + -9b = -32 + 0 4 + -9b = -32 Add '-4' to each side of the equation. 4 + -4 + -9b = -32 + -4 Combine like terms: 4 + -4 = 0 0 + -9b = -32 + -4 -9b = -32 + -4 Combine like terms: -32 + -4 = -36 -9b = -36 Divide each side by '-9'. b = 4 Simplifying b = 4
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