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Simplifying 2[7 + -1(p + 8)] + -4 = 6(3 + -1p) Reorder the terms: 2[7 + -1(8 + p)] + -4 = 6(3 + -1p) 2[7 + (8 * -1 + p * -1)] + -4 = 6(3 + -1p) 2[7 + (-8 + -1p)] + -4 = 6(3 + -1p) Combine like terms: 7 + -8 = -1 2[-1 + -1p] + -4 = 6(3 + -1p) [-1 * 2 + -1p * 2] + -4 = 6(3 + -1p) [-2 + -2p] + -4 = 6(3 + -1p) Reorder the terms: -2 + -4 + -2p = 6(3 + -1p) Combine like terms: -2 + -4 = -6 -6 + -2p = 6(3 + -1p) -6 + -2p = (3 * 6 + -1p * 6) -6 + -2p = (18 + -6p) Solving -6 + -2p = 18 + -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. -6 + -2p + 6p = 18 + -6p + 6p Combine like terms: -2p + 6p = 4p -6 + 4p = 18 + -6p + 6p Combine like terms: -6p + 6p = 0 -6 + 4p = 18 + 0 -6 + 4p = 18 Add '6' to each side of the equation. -6 + 6 + 4p = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 4p = 18 + 6 4p = 18 + 6 Combine like terms: 18 + 6 = 24 4p = 24 Divide each side by '4'. p = 6 Simplifying p = 6
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