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Simplifying p + -2 + -5 + -3p = -1(p + 8) + 4(p + 4) Reorder the terms: -2 + -5 + p + -3p = -1(p + 8) + 4(p + 4) Combine like terms: -2 + -5 = -7 -7 + p + -3p = -1(p + 8) + 4(p + 4) Combine like terms: p + -3p = -2p -7 + -2p = -1(p + 8) + 4(p + 4) Reorder the terms: -7 + -2p = -1(8 + p) + 4(p + 4) -7 + -2p = (8 * -1 + p * -1) + 4(p + 4) -7 + -2p = (-8 + -1p) + 4(p + 4) Reorder the terms: -7 + -2p = -8 + -1p + 4(4 + p) -7 + -2p = -8 + -1p + (4 * 4 + p * 4) -7 + -2p = -8 + -1p + (16 + 4p) Reorder the terms: -7 + -2p = -8 + 16 + -1p + 4p Combine like terms: -8 + 16 = 8 -7 + -2p = 8 + -1p + 4p Combine like terms: -1p + 4p = 3p -7 + -2p = 8 + 3p Solving -7 + -2p = 8 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -7 + -2p + -3p = 8 + 3p + -3p Combine like terms: -2p + -3p = -5p -7 + -5p = 8 + 3p + -3p Combine like terms: 3p + -3p = 0 -7 + -5p = 8 + 0 -7 + -5p = 8 Add '7' to each side of the equation. -7 + 7 + -5p = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -5p = 8 + 7 -5p = 8 + 7 Combine like terms: 8 + 7 = 15 -5p = 15 Divide each side by '-5'. p = -3 Simplifying p = -3
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