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Simplifying -5p + -3(5 + -3p) = 2(p + -4) + -7 -5p + (5 * -3 + -3p * -3) = 2(p + -4) + -7 -5p + (-15 + 9p) = 2(p + -4) + -7 Reorder the terms: -15 + -5p + 9p = 2(p + -4) + -7 Combine like terms: -5p + 9p = 4p -15 + 4p = 2(p + -4) + -7 Reorder the terms: -15 + 4p = 2(-4 + p) + -7 -15 + 4p = (-4 * 2 + p * 2) + -7 -15 + 4p = (-8 + 2p) + -7 Reorder the terms: -15 + 4p = -8 + -7 + 2p Combine like terms: -8 + -7 = -15 -15 + 4p = -15 + 2p Add '15' to each side of the equation. -15 + 15 + 4p = -15 + 15 + 2p Combine like terms: -15 + 15 = 0 0 + 4p = -15 + 15 + 2p 4p = -15 + 15 + 2p Combine like terms: -15 + 15 = 0 4p = 0 + 2p 4p = 2p Solving 4p = 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 = 2p + -2p Combine like terms: 4p + -2p = 2p 2p = 2p + -2p Combine like terms: 2p + -2p = 0 2p = 0 Divide each side by '2'. p = 0 Simplifying p = 0
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