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Simplifying -22 + 8x + 6q + -4q + -4x + -3q + -16 = 0 Reorder the terms: -22 + -16 + 6q + -4q + -3q + 8x + -4x = 0 Combine like terms: -22 + -16 = -38 -38 + 6q + -4q + -3q + 8x + -4x = 0 Combine like terms: 6q + -4q = 2q -38 + 2q + -3q + 8x + -4x = 0 Combine like terms: 2q + -3q = -1q -38 + -1q + 8x + -4x = 0 Combine like terms: 8x + -4x = 4x -38 + -1q + 4x = 0 Solving -38 + -1q + 4x = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '38' to each side of the equation. -38 + -1q + 38 + 4x = 0 + 38 Reorder the terms: -38 + 38 + -1q + 4x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -1q + 4x = 0 + 38 -1q + 4x = 0 + 38 Combine like terms: 0 + 38 = 38 -1q + 4x = 38 Add '-4x' to each side of the equation. -1q + 4x + -4x = 38 + -4x Combine like terms: 4x + -4x = 0 -1q + 0 = 38 + -4x -1q = 38 + -4x Divide each side by '-1'. q = -38 + 4x Simplifying q = -38 + 4x
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