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Simplifying -4(p + 2) + 8 = (p + -1) + -7p + 15 Reorder the terms: -4(2 + p) + 8 = (p + -1) + -7p + 15 (2 * -4 + p * -4) + 8 = (p + -1) + -7p + 15 (-8 + -4p) + 8 = (p + -1) + -7p + 15 Reorder the terms: -8 + 8 + -4p = (p + -1) + -7p + 15 Combine like terms: -8 + 8 = 0 0 + -4p = (p + -1) + -7p + 15 -4p = (p + -1) + -7p + 15 Reorder the terms: -4p = (-1 + p) + -7p + 15 Remove parenthesis around (-1 + p) -4p = -1 + p + -7p + 15 Reorder the terms: -4p = -1 + 15 + p + -7p Combine like terms: -1 + 15 = 14 -4p = 14 + p + -7p Combine like terms: p + -7p = -6p -4p = 14 + -6p Solving -4p = 14 + -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. -4p + 6p = 14 + -6p + 6p Combine like terms: -4p + 6p = 2p 2p = 14 + -6p + 6p Combine like terms: -6p + 6p = 0 2p = 14 + 0 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7
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