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Simplifying -8(4 + 4b) + -6 = 2(b + -4) + 4 (4 * -8 + 4b * -8) + -6 = 2(b + -4) + 4 (-32 + -32b) + -6 = 2(b + -4) + 4 Reorder the terms: -32 + -6 + -32b = 2(b + -4) + 4 Combine like terms: -32 + -6 = -38 -38 + -32b = 2(b + -4) + 4 Reorder the terms: -38 + -32b = 2(-4 + b) + 4 -38 + -32b = (-4 * 2 + b * 2) + 4 -38 + -32b = (-8 + 2b) + 4 Reorder the terms: -38 + -32b = -8 + 4 + 2b Combine like terms: -8 + 4 = -4 -38 + -32b = -4 + 2b Solving -38 + -32b = -4 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -38 + -32b + -2b = -4 + 2b + -2b Combine like terms: -32b + -2b = -34b -38 + -34b = -4 + 2b + -2b Combine like terms: 2b + -2b = 0 -38 + -34b = -4 + 0 -38 + -34b = -4 Add '38' to each side of the equation. -38 + 38 + -34b = -4 + 38 Combine like terms: -38 + 38 = 0 0 + -34b = -4 + 38 -34b = -4 + 38 Combine like terms: -4 + 38 = 34 -34b = 34 Divide each side by '-34'. b = -1 Simplifying b = -1
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