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Simplifying 2(b + -8) + -4(b + 3) = 0 Reorder the terms: 2(-8 + b) + -4(b + 3) = 0 (-8 * 2 + b * 2) + -4(b + 3) = 0 (-16 + 2b) + -4(b + 3) = 0 Reorder the terms: -16 + 2b + -4(3 + b) = 0 -16 + 2b + (3 * -4 + b * -4) = 0 -16 + 2b + (-12 + -4b) = 0 Reorder the terms: -16 + -12 + 2b + -4b = 0 Combine like terms: -16 + -12 = -28 -28 + 2b + -4b = 0 Combine like terms: 2b + -4b = -2b -28 + -2b = 0 Solving -28 + -2b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -2b = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -2b = 0 + 28 -2b = 0 + 28 Combine like terms: 0 + 28 = 28 -2b = 28 Divide each side by '-2'. b = -14 Simplifying b = -14
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