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Simplifying 2[p + -1(2p + 9) + 5] = 2(p + 4) Reorder the terms: 2[p + -1(9 + 2p) + 5] = 2(p + 4) 2[p + (9 * -1 + 2p * -1) + 5] = 2(p + 4) 2[p + (-9 + -2p) + 5] = 2(p + 4) Reorder the terms: 2[-9 + 5 + p + -2p] = 2(p + 4) Combine like terms: -9 + 5 = -4 2[-4 + p + -2p] = 2(p + 4) Combine like terms: p + -2p = -1p 2[-4 + -1p] = 2(p + 4) [-4 * 2 + -1p * 2] = 2(p + 4) [-8 + -2p] = 2(p + 4) Reorder the terms: -8 + -2p = 2(4 + p) -8 + -2p = (4 * 2 + p * 2) -8 + -2p = (8 + 2p) Solving -8 + -2p = 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 + -2p + -2p = 8 + 2p + -2p Combine like terms: -2p + -2p = -4p -8 + -4p = 8 + 2p + -2p Combine like terms: 2p + -2p = 0 -8 + -4p = 8 + 0 -8 + -4p = 8 Add '8' to each side of the equation. -8 + 8 + -4p = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -4p = 8 + 8 -4p = 8 + 8 Combine like terms: 8 + 8 = 16 -4p = 16 Divide each side by '-4'. p = -4 Simplifying p = -4
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