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Simplifying -2[4 + -1(3p + 6)] + -10 = 4(4 + p) Reorder the terms: -2[4 + -1(6 + 3p)] + -10 = 4(4 + p) -2[4 + (6 * -1 + 3p * -1)] + -10 = 4(4 + p) -2[4 + (-6 + -3p)] + -10 = 4(4 + p) Combine like terms: 4 + -6 = -2 -2[-2 + -3p] + -10 = 4(4 + p) [-2 * -2 + -3p * -2] + -10 = 4(4 + p) [4 + 6p] + -10 = 4(4 + p) Reorder the terms: 4 + -10 + 6p = 4(4 + p) Combine like terms: 4 + -10 = -6 -6 + 6p = 4(4 + p) -6 + 6p = (4 * 4 + p * 4) -6 + 6p = (16 + 4p) Solving -6 + 6p = 16 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -6 + 6p + -4p = 16 + 4p + -4p Combine like terms: 6p + -4p = 2p -6 + 2p = 16 + 4p + -4p Combine like terms: 4p + -4p = 0 -6 + 2p = 16 + 0 -6 + 2p = 16 Add '6' to each side of the equation. -6 + 6 + 2p = 16 + 6 Combine like terms: -6 + 6 = 0 0 + 2p = 16 + 6 2p = 16 + 6 Combine like terms: 16 + 6 = 22 2p = 22 Divide each side by '2'. p = 11 Simplifying p = 11
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