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Simplifying 2[p + -1(4p + 20) + 12] = 2(p + 8) Reorder the terms: 2[p + -1(20 + 4p) + 12] = 2(p + 8) 2[p + (20 * -1 + 4p * -1) + 12] = 2(p + 8) 2[p + (-20 + -4p) + 12] = 2(p + 8) Reorder the terms: 2[-20 + 12 + p + -4p] = 2(p + 8) Combine like terms: -20 + 12 = -8 2[-8 + p + -4p] = 2(p + 8) Combine like terms: p + -4p = -3p 2[-8 + -3p] = 2(p + 8) [-8 * 2 + -3p * 2] = 2(p + 8) [-16 + -6p] = 2(p + 8) Reorder the terms: -16 + -6p = 2(8 + p) -16 + -6p = (8 * 2 + p * 2) -16 + -6p = (16 + 2p) Solving -16 + -6p = 16 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -16 + -6p + -2p = 16 + 2p + -2p Combine like terms: -6p + -2p = -8p -16 + -8p = 16 + 2p + -2p Combine like terms: 2p + -2p = 0 -16 + -8p = 16 + 0 -16 + -8p = 16 Add '16' to each side of the equation. -16 + 16 + -8p = 16 + 16 Combine like terms: -16 + 16 = 0 0 + -8p = 16 + 16 -8p = 16 + 16 Combine like terms: 16 + 16 = 32 -8p = 32 Divide each side by '-8'. p = -4 Simplifying p = -4
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