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Simplifying 4(x + -2q) = 3x + 2 Reorder the terms: 4(-2q + x) = 3x + 2 (-2q * 4 + x * 4) = 3x + 2 (-8q + 4x) = 3x + 2 Reorder the terms: -8q + 4x = 2 + 3x Solving -8q + 4x = 2 + 3x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4x' to each side of the equation. -8q + 4x + -4x = 2 + 3x + -4x Combine like terms: 4x + -4x = 0 -8q + 0 = 2 + 3x + -4x -8q = 2 + 3x + -4x Combine like terms: 3x + -4x = -1x -8q = 2 + -1x Divide each side by '-8'. q = -0.25 + 0.125x Simplifying q = -0.25 + 0.125x
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