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Simplifying (6xq + -4 + 6) + -1(2xq + 2x + 1) = 0 Reorder the terms: (-4 + 6 + 6qx) + -1(2xq + 2x + 1) = 0 Combine like terms: -4 + 6 = 2 (2 + 6qx) + -1(2xq + 2x + 1) = 0 Remove parenthesis around (2 + 6qx) 2 + 6qx + -1(2xq + 2x + 1) = 0 Reorder the terms: 2 + 6qx + -1(1 + 2qx + 2x) = 0 2 + 6qx + (1 * -1 + 2qx * -1 + 2x * -1) = 0 2 + 6qx + (-1 + -2qx + -2x) = 0 Reorder the terms: 2 + -1 + 6qx + -2qx + -2x = 0 Combine like terms: 2 + -1 = 1 1 + 6qx + -2qx + -2x = 0 Combine like terms: 6qx + -2qx = 4qx 1 + 4qx + -2x = 0 Solving 1 + 4qx + -2x = 0 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 + 4qx + -1 + -2x = 0 + -1 Reorder the terms: 1 + -1 + 4qx + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4qx + -2x = 0 + -1 4qx + -2x = 0 + -1 Combine like terms: 0 + -1 = -1 4qx + -2x = -1 Add '2x' to each side of the equation. 4qx + -2x + 2x = -1 + 2x Combine like terms: -2x + 2x = 0 4qx + 0 = -1 + 2x 4qx = -1 + 2x Divide each side by '4x'. q = -0.25x-1 + 0.5 Simplifying q = -0.25x-1 + 0.5 Reorder the terms: q = 0.5 + -0.25x-1
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