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Simplifying 2(3p + 4) + -4(2x + -3) = 0 Reorder the terms: 2(4 + 3p) + -4(2x + -3) = 0 (4 * 2 + 3p * 2) + -4(2x + -3) = 0 (8 + 6p) + -4(2x + -3) = 0 Reorder the terms: 8 + 6p + -4(-3 + 2x) = 0 8 + 6p + (-3 * -4 + 2x * -4) = 0 8 + 6p + (12 + -8x) = 0 Reorder the terms: 8 + 12 + 6p + -8x = 0 Combine like terms: 8 + 12 = 20 20 + 6p + -8x = 0 Solving 20 + 6p + -8x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 6p + -20 + -8x = 0 + -20 Reorder the terms: 20 + -20 + 6p + -8x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 6p + -8x = 0 + -20 6p + -8x = 0 + -20 Combine like terms: 0 + -20 = -20 6p + -8x = -20 Add '8x' to each side of the equation. 6p + -8x + 8x = -20 + 8x Combine like terms: -8x + 8x = 0 6p + 0 = -20 + 8x 6p = -20 + 8x Divide each side by '6'. p = -3.333333333 + 1.333333333x Simplifying p = -3.333333333 + 1.333333333x
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