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Simplifying 4(q + 8) + 6(2x + 1) = 0 Reorder the terms: 4(8 + q) + 6(2x + 1) = 0 (8 * 4 + q * 4) + 6(2x + 1) = 0 (32 + 4q) + 6(2x + 1) = 0 Reorder the terms: 32 + 4q + 6(1 + 2x) = 0 32 + 4q + (1 * 6 + 2x * 6) = 0 32 + 4q + (6 + 12x) = 0 Reorder the terms: 32 + 6 + 4q + 12x = 0 Combine like terms: 32 + 6 = 38 38 + 4q + 12x = 0 Solving 38 + 4q + 12x = 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 + 4q + -38 + 12x = 0 + -38 Reorder the terms: 38 + -38 + 4q + 12x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 4q + 12x = 0 + -38 4q + 12x = 0 + -38 Combine like terms: 0 + -38 = -38 4q + 12x = -38 Add '-12x' to each side of the equation. 4q + 12x + -12x = -38 + -12x Combine like terms: 12x + -12x = 0 4q + 0 = -38 + -12x 4q = -38 + -12x Divide each side by '4'. q = -9.5 + -3x Simplifying q = -9.5 + -3x
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