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Simplifying 7 + -4(p + 6) = -5(2p + 13) Reorder the terms: 7 + -4(6 + p) = -5(2p + 13) 7 + (6 * -4 + p * -4) = -5(2p + 13) 7 + (-24 + -4p) = -5(2p + 13) Combine like terms: 7 + -24 = -17 -17 + -4p = -5(2p + 13) Reorder the terms: -17 + -4p = -5(13 + 2p) -17 + -4p = (13 * -5 + 2p * -5) -17 + -4p = (-65 + -10p) Solving -17 + -4p = -65 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. -17 + -4p + 10p = -65 + -10p + 10p Combine like terms: -4p + 10p = 6p -17 + 6p = -65 + -10p + 10p Combine like terms: -10p + 10p = 0 -17 + 6p = -65 + 0 -17 + 6p = -65 Add '17' to each side of the equation. -17 + 17 + 6p = -65 + 17 Combine like terms: -17 + 17 = 0 0 + 6p = -65 + 17 6p = -65 + 17 Combine like terms: -65 + 17 = -48 6p = -48 Divide each side by '6'. p = -8 Simplifying p = -8
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