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Simplifying 16p + -1(-14p + 46) = -64 + -1p + 14 + 33p Reorder the terms: 16p + -1(46 + -14p) = -64 + -1p + 14 + 33p 16p + (46 * -1 + -14p * -1) = -64 + -1p + 14 + 33p 16p + (-46 + 14p) = -64 + -1p + 14 + 33p Reorder the terms: -46 + 16p + 14p = -64 + -1p + 14 + 33p Combine like terms: 16p + 14p = 30p -46 + 30p = -64 + -1p + 14 + 33p Reorder the terms: -46 + 30p = -64 + 14 + -1p + 33p Combine like terms: -64 + 14 = -50 -46 + 30p = -50 + -1p + 33p Combine like terms: -1p + 33p = 32p -46 + 30p = -50 + 32p Solving -46 + 30p = -50 + 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. -46 + 30p + -32p = -50 + 32p + -32p Combine like terms: 30p + -32p = -2p -46 + -2p = -50 + 32p + -32p Combine like terms: 32p + -32p = 0 -46 + -2p = -50 + 0 -46 + -2p = -50 Add '46' to each side of the equation. -46 + 46 + -2p = -50 + 46 Combine like terms: -46 + 46 = 0 0 + -2p = -50 + 46 -2p = -50 + 46 Combine like terms: -50 + 46 = -4 -2p = -4 Divide each side by '-2'. p = 2 Simplifying p = 2
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