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Simplifying 6x + 2x + -1 + -17 + -3p + 2x + 12 + -14x + -9p + 1 = 0 Reorder the terms: -1 + -17 + 12 + 1 + -3p + -9p + 6x + 2x + 2x + -14x = 0 Combine like terms: -1 + -17 = -18 -18 + 12 + 1 + -3p + -9p + 6x + 2x + 2x + -14x = 0 Combine like terms: -18 + 12 = -6 -6 + 1 + -3p + -9p + 6x + 2x + 2x + -14x = 0 Combine like terms: -6 + 1 = -5 -5 + -3p + -9p + 6x + 2x + 2x + -14x = 0 Combine like terms: -3p + -9p = -12p -5 + -12p + 6x + 2x + 2x + -14x = 0 Combine like terms: 6x + 2x = 8x -5 + -12p + 8x + 2x + -14x = 0 Combine like terms: 8x + 2x = 10x -5 + -12p + 10x + -14x = 0 Combine like terms: 10x + -14x = -4x -5 + -12p + -4x = 0 Solving -5 + -12p + -4x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -12p + 5 + -4x = 0 + 5 Reorder the terms: -5 + 5 + -12p + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -12p + -4x = 0 + 5 -12p + -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -12p + -4x = 5 Add '4x' to each side of the equation. -12p + -4x + 4x = 5 + 4x Combine like terms: -4x + 4x = 0 -12p + 0 = 5 + 4x -12p = 5 + 4x Divide each side by '-12'. p = -0.4166666667 + -0.3333333333x Simplifying p = -0.4166666667 + -0.3333333333x
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