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Simplifying 2[p + -1(4p + 12) + 2] = 2(p + 10) Reorder the terms: 2[p + -1(12 + 4p) + 2] = 2(p + 10) 2[p + (12 * -1 + 4p * -1) + 2] = 2(p + 10) 2[p + (-12 + -4p) + 2] = 2(p + 10) Reorder the terms: 2[-12 + 2 + p + -4p] = 2(p + 10) Combine like terms: -12 + 2 = -10 2[-10 + p + -4p] = 2(p + 10) Combine like terms: p + -4p = -3p 2[-10 + -3p] = 2(p + 10) [-10 * 2 + -3p * 2] = 2(p + 10) [-20 + -6p] = 2(p + 10) Reorder the terms: -20 + -6p = 2(10 + p) -20 + -6p = (10 * 2 + p * 2) -20 + -6p = (20 + 2p) Solving -20 + -6p = 20 + 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. -20 + -6p + -2p = 20 + 2p + -2p Combine like terms: -6p + -2p = -8p -20 + -8p = 20 + 2p + -2p Combine like terms: 2p + -2p = 0 -20 + -8p = 20 + 0 -20 + -8p = 20 Add '20' to each side of the equation. -20 + 20 + -8p = 20 + 20 Combine like terms: -20 + 20 = 0 0 + -8p = 20 + 20 -8p = 20 + 20 Combine like terms: 20 + 20 = 40 -8p = 40 Divide each side by '-8'. p = -5 Simplifying p = -5
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