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Simplifying 2(3x + -1b) = dx + -12 Reorder the terms: 2(-1b + 3x) = dx + -12 (-1b * 2 + 3x * 2) = dx + -12 (-2b + 6x) = dx + -12 Reorder the terms: -2b + 6x = -12 + dx Solving -2b + 6x = -12 + dx Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6x' to each side of the equation. -2b + 6x + -6x = -12 + dx + -6x Combine like terms: 6x + -6x = 0 -2b + 0 = -12 + dx + -6x -2b = -12 + dx + -6x Divide each side by '-2'. b = 6 + -0.5dx + 3x Simplifying b = 6 + -0.5dx + 3x
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