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Simplifying -2[5 + -1(2p + 1)] + 16 = 6(4 + p) Reorder the terms: -2[5 + -1(1 + 2p)] + 16 = 6(4 + p) -2[5 + (1 * -1 + 2p * -1)] + 16 = 6(4 + p) -2[5 + (-1 + -2p)] + 16 = 6(4 + p) Combine like terms: 5 + -1 = 4 -2[4 + -2p] + 16 = 6(4 + p) [4 * -2 + -2p * -2] + 16 = 6(4 + p) [-8 + 4p] + 16 = 6(4 + p) Reorder the terms: -8 + 16 + 4p = 6(4 + p) Combine like terms: -8 + 16 = 8 8 + 4p = 6(4 + p) 8 + 4p = (4 * 6 + p * 6) 8 + 4p = (24 + 6p) Solving 8 + 4p = 24 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 8 + 4p + -6p = 24 + 6p + -6p Combine like terms: 4p + -6p = -2p 8 + -2p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 8 + -2p = 24 + 0 8 + -2p = 24 Add '-8' to each side of the equation. 8 + -8 + -2p = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -2p = 24 + -8 -2p = 24 + -8 Combine like terms: 24 + -8 = 16 -2p = 16 Divide each side by '-2'. p = -8 Simplifying p = -8
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