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Simplifying 2[p + -1(4p + 15) + 11] = 2(p + 4) Reorder the terms: 2[p + -1(15 + 4p) + 11] = 2(p + 4) 2[p + (15 * -1 + 4p * -1) + 11] = 2(p + 4) 2[p + (-15 + -4p) + 11] = 2(p + 4) Reorder the terms: 2[-15 + 11 + p + -4p] = 2(p + 4) Combine like terms: -15 + 11 = -4 2[-4 + p + -4p] = 2(p + 4) Combine like terms: p + -4p = -3p 2[-4 + -3p] = 2(p + 4) [-4 * 2 + -3p * 2] = 2(p + 4) [-8 + -6p] = 2(p + 4) Reorder the terms: -8 + -6p = 2(4 + p) -8 + -6p = (4 * 2 + p * 2) -8 + -6p = (8 + 2p) Solving -8 + -6p = 8 + 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. -8 + -6p + -2p = 8 + 2p + -2p Combine like terms: -6p + -2p = -8p -8 + -8p = 8 + 2p + -2p Combine like terms: 2p + -2p = 0 -8 + -8p = 8 + 0 -8 + -8p = 8 Add '8' to each side of the equation. -8 + 8 + -8p = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -8p = 8 + 8 -8p = 8 + 8 Combine like terms: 8 + 8 = 16 -8p = 16 Divide each side by '-8'. p = -2 Simplifying p = -2
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