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Simplifying 3[4p + -7] + -1[3x + -7] = 0 Reorder the terms: 3[-7 + 4p] + -1[3x + -7] = 0 [-7 * 3 + 4p * 3] + -1[3x + -7] = 0 [-21 + 12p] + -1[3x + -7] = 0 Reorder the terms: -21 + 12p + -1[-7 + 3x] = 0 -21 + 12p + [-7 * -1 + 3x * -1] = 0 -21 + 12p + [7 + -3x] = 0 Reorder the terms: -21 + 7 + 12p + -3x = 0 Combine like terms: -21 + 7 = -14 -14 + 12p + -3x = 0 Solving -14 + 12p + -3x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 12p + 14 + -3x = 0 + 14 Reorder the terms: -14 + 14 + 12p + -3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 12p + -3x = 0 + 14 12p + -3x = 0 + 14 Combine like terms: 0 + 14 = 14 12p + -3x = 14 Add '3x' to each side of the equation. 12p + -3x + 3x = 14 + 3x Combine like terms: -3x + 3x = 0 12p + 0 = 14 + 3x 12p = 14 + 3x Divide each side by '12'. p = 1.166666667 + 0.25x Simplifying p = 1.166666667 + 0.25x
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