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Simplifying 6p + -1(5p + 15) = -8 + -2(p + 12) Reorder the terms: 6p + -1(15 + 5p) = -8 + -2(p + 12) 6p + (15 * -1 + 5p * -1) = -8 + -2(p + 12) 6p + (-15 + -5p) = -8 + -2(p + 12) Reorder the terms: -15 + 6p + -5p = -8 + -2(p + 12) Combine like terms: 6p + -5p = 1p -15 + 1p = -8 + -2(p + 12) Reorder the terms: -15 + 1p = -8 + -2(12 + p) -15 + 1p = -8 + (12 * -2 + p * -2) -15 + 1p = -8 + (-24 + -2p) Combine like terms: -8 + -24 = -32 -15 + 1p = -32 + -2p Solving -15 + 1p = -32 + -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. -15 + 1p + 2p = -32 + -2p + 2p Combine like terms: 1p + 2p = 3p -15 + 3p = -32 + -2p + 2p Combine like terms: -2p + 2p = 0 -15 + 3p = -32 + 0 -15 + 3p = -32 Add '15' to each side of the equation. -15 + 15 + 3p = -32 + 15 Combine like terms: -15 + 15 = 0 0 + 3p = -32 + 15 3p = -32 + 15 Combine like terms: -32 + 15 = -17 3p = -17 Divide each side by '3'. p = -5.666666667 Simplifying p = -5.666666667
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