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Simplifying -28 + 12x + 13q + -3x + -3q + -24 = 0 Reorder the terms: -28 + -24 + 13q + -3q + 12x + -3x = 0 Combine like terms: -28 + -24 = -52 -52 + 13q + -3q + 12x + -3x = 0 Combine like terms: 13q + -3q = 10q -52 + 10q + 12x + -3x = 0 Combine like terms: 12x + -3x = 9x -52 + 10q + 9x = 0 Solving -52 + 10q + 9x = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 10q + 52 + 9x = 0 + 52 Reorder the terms: -52 + 52 + 10q + 9x = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 10q + 9x = 0 + 52 10q + 9x = 0 + 52 Combine like terms: 0 + 52 = 52 10q + 9x = 52 Add '-9x' to each side of the equation. 10q + 9x + -9x = 52 + -9x Combine like terms: 9x + -9x = 0 10q + 0 = 52 + -9x 10q = 52 + -9x Divide each side by '10'. q = 5.2 + -0.9x Simplifying q = 5.2 + -0.9x
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