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Simplifying -2[2p + -4] = 3[p + 12] Reorder the terms: -2[-4 + 2p] = 3[p + 12] [-4 * -2 + 2p * -2] = 3[p + 12] [8 + -4p] = 3[p + 12] Reorder the terms: 8 + -4p = 3[12 + p] 8 + -4p = [12 * 3 + p * 3] 8 + -4p = [36 + 3p] Solving 8 + -4p = 36 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 8 + -4p + -3p = 36 + 3p + -3p Combine like terms: -4p + -3p = -7p 8 + -7p = 36 + 3p + -3p Combine like terms: 3p + -3p = 0 8 + -7p = 36 + 0 8 + -7p = 36 Add '-8' to each side of the equation. 8 + -8 + -7p = 36 + -8 Combine like terms: 8 + -8 = 0 0 + -7p = 36 + -8 -7p = 36 + -8 Combine like terms: 36 + -8 = 28 -7p = 28 Divide each side by '-7'. p = -4 Simplifying p = -4
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