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Simplifying 6p + -1(5p + 5) = -8 + -1(p + 12) Reorder the terms: 6p + -1(5 + 5p) = -8 + -1(p + 12) 6p + (5 * -1 + 5p * -1) = -8 + -1(p + 12) 6p + (-5 + -5p) = -8 + -1(p + 12) Reorder the terms: -5 + 6p + -5p = -8 + -1(p + 12) Combine like terms: 6p + -5p = 1p -5 + 1p = -8 + -1(p + 12) Reorder the terms: -5 + 1p = -8 + -1(12 + p) -5 + 1p = -8 + (12 * -1 + p * -1) -5 + 1p = -8 + (-12 + -1p) Combine like terms: -8 + -12 = -20 -5 + 1p = -20 + -1p Solving -5 + 1p = -20 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -5 + 1p + p = -20 + -1p + p Combine like terms: 1p + p = 2p -5 + 2p = -20 + -1p + p Combine like terms: -1p + p = 0 -5 + 2p = -20 + 0 -5 + 2p = -20 Add '5' to each side of the equation. -5 + 5 + 2p = -20 + 5 Combine like terms: -5 + 5 = 0 0 + 2p = -20 + 5 2p = -20 + 5 Combine like terms: -20 + 5 = -15 2p = -15 Divide each side by '2'. p = -7.5 Simplifying p = -7.5
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