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Simplifying -4(p + 2) + 8 = 2(p + -1) + 15 Reorder the terms: -4(2 + p) + 8 = 2(p + -1) + 15 (2 * -4 + p * -4) + 8 = 2(p + -1) + 15 (-8 + -4p) + 8 = 2(p + -1) + 15 Reorder the terms: -8 + 8 + -4p = 2(p + -1) + 15 Combine like terms: -8 + 8 = 0 0 + -4p = 2(p + -1) + 15 -4p = 2(p + -1) + 15 Reorder the terms: -4p = 2(-1 + p) + 15 -4p = (-1 * 2 + p * 2) + 15 -4p = (-2 + 2p) + 15 Reorder the terms: -4p = -2 + 15 + 2p Combine like terms: -2 + 15 = 13 -4p = 13 + 2p Solving -4p = 13 + 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. -4p + -2p = 13 + 2p + -2p Combine like terms: -4p + -2p = -6p -6p = 13 + 2p + -2p Combine like terms: 2p + -2p = 0 -6p = 13 + 0 -6p = 13 Divide each side by '-6'. p = -2.166666667 Simplifying p = -2.166666667
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