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Simplifying 3(2p + -6) + -4(p + -8) = 5 + -1p Reorder the terms: 3(-6 + 2p) + -4(p + -8) = 5 + -1p (-6 * 3 + 2p * 3) + -4(p + -8) = 5 + -1p (-18 + 6p) + -4(p + -8) = 5 + -1p Reorder the terms: -18 + 6p + -4(-8 + p) = 5 + -1p -18 + 6p + (-8 * -4 + p * -4) = 5 + -1p -18 + 6p + (32 + -4p) = 5 + -1p Reorder the terms: -18 + 32 + 6p + -4p = 5 + -1p Combine like terms: -18 + 32 = 14 14 + 6p + -4p = 5 + -1p Combine like terms: 6p + -4p = 2p 14 + 2p = 5 + -1p Solving 14 + 2p = 5 + -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. 14 + 2p + p = 5 + -1p + p Combine like terms: 2p + p = 3p 14 + 3p = 5 + -1p + p Combine like terms: -1p + p = 0 14 + 3p = 5 + 0 14 + 3p = 5 Add '-14' to each side of the equation. 14 + -14 + 3p = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 3p = 5 + -14 3p = 5 + -14 Combine like terms: 5 + -14 = -9 3p = -9 Divide each side by '3'. p = -3 Simplifying p = -3
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