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Simplifying 8(2p + 7) = 15(p + -4) Reorder the terms: 8(7 + 2p) = 15(p + -4) (7 * 8 + 2p * 8) = 15(p + -4) (56 + 16p) = 15(p + -4) Reorder the terms: 56 + 16p = 15(-4 + p) 56 + 16p = (-4 * 15 + p * 15) 56 + 16p = (-60 + 15p) Solving 56 + 16p = -60 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 56 + 16p + -15p = -60 + 15p + -15p Combine like terms: 16p + -15p = 1p 56 + 1p = -60 + 15p + -15p Combine like terms: 15p + -15p = 0 56 + 1p = -60 + 0 56 + 1p = -60 Add '-56' to each side of the equation. 56 + -56 + 1p = -60 + -56 Combine like terms: 56 + -56 = 0 0 + 1p = -60 + -56 1p = -60 + -56 Combine like terms: -60 + -56 = -116 1p = -116 Divide each side by '1'. p = -116 Simplifying p = -116
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