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Simplifying 6(p + -4) + 6 = 4p + -46 Reorder the terms: 6(-4 + p) + 6 = 4p + -46 (-4 * 6 + p * 6) + 6 = 4p + -46 (-24 + 6p) + 6 = 4p + -46 Reorder the terms: -24 + 6 + 6p = 4p + -46 Combine like terms: -24 + 6 = -18 -18 + 6p = 4p + -46 Reorder the terms: -18 + 6p = -46 + 4p Solving -18 + 6p = -46 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -18 + 6p + -4p = -46 + 4p + -4p Combine like terms: 6p + -4p = 2p -18 + 2p = -46 + 4p + -4p Combine like terms: 4p + -4p = 0 -18 + 2p = -46 + 0 -18 + 2p = -46 Add '18' to each side of the equation. -18 + 18 + 2p = -46 + 18 Combine like terms: -18 + 18 = 0 0 + 2p = -46 + 18 2p = -46 + 18 Combine like terms: -46 + 18 = -28 2p = -28 Divide each side by '2'. p = -14 Simplifying p = -14
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