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Simplifying 3x + 4r + 2wq + 1 = 4x + 2w Reorder the terms: 1 + 2qw + 4r + 3x = 4x + 2w Reorder the terms: 1 + 2qw + 4r + 3x = 2w + 4x Solving 1 + 2qw + 4r + 3x = 2w + 4x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2qw + 4r + -1 + 3x = 2w + -1 + 4x Reorder the terms: 1 + -1 + 2qw + 4r + 3x = 2w + -1 + 4x Combine like terms: 1 + -1 = 0 0 + 2qw + 4r + 3x = 2w + -1 + 4x 2qw + 4r + 3x = 2w + -1 + 4x Reorder the terms: 2qw + 4r + 3x = -1 + 2w + 4x Add '-4r' to each side of the equation. 2qw + 4r + -4r + 3x = -1 + 2w + -4r + 4x Combine like terms: 4r + -4r = 0 2qw + 0 + 3x = -1 + 2w + -4r + 4x 2qw + 3x = -1 + 2w + -4r + 4x Reorder the terms: 2qw + 3x = -1 + -4r + 2w + 4x Add '-3x' to each side of the equation. 2qw + 3x + -3x = -1 + -4r + 2w + 4x + -3x Combine like terms: 3x + -3x = 0 2qw + 0 = -1 + -4r + 2w + 4x + -3x 2qw = -1 + -4r + 2w + 4x + -3x Combine like terms: 4x + -3x = 1x 2qw = -1 + -4r + 2w + 1x Divide each side by '2w'. q = -0.5w-1 + -2rw-1 + 1 + 0.5w-1x Simplifying q = -0.5w-1 + -2rw-1 + 1 + 0.5w-1x Reorder the terms: q = 1 + -2rw-1 + -0.5w-1 + 0.5w-1x
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