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Simplifying 2(3p + -1x) + -1(-4 + x) = 0 (3p * 2 + -1x * 2) + -1(-4 + x) = 0 (6p + -2x) + -1(-4 + x) = 0 6p + -2x + (-4 * -1 + x * -1) = 0 6p + -2x + (4 + -1x) = 0 Reorder the terms: 4 + 6p + -2x + -1x = 0 Combine like terms: -2x + -1x = -3x 4 + 6p + -3x = 0 Solving 4 + 6p + -3x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 6p + -4 + -3x = 0 + -4 Reorder the terms: 4 + -4 + 6p + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6p + -3x = 0 + -4 6p + -3x = 0 + -4 Combine like terms: 0 + -4 = -4 6p + -3x = -4 Add '3x' to each side of the equation. 6p + -3x + 3x = -4 + 3x Combine like terms: -3x + 3x = 0 6p + 0 = -4 + 3x 6p = -4 + 3x Divide each side by '6'. p = -0.6666666667 + 0.5x Simplifying p = -0.6666666667 + 0.5x
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